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Finding the Fourth Proportional to 542.12, 813.06 and 177.04

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Solution

The fourth proportional to 542.12, 813.06 and 177.04 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 813.06 = 177.04 : x
  2. Step 2: Convert to fraction form
    542.12/813.06 = 177.04/x
  3. Step 3: Cross multiply
    542.12x = 813.06 × 177.04
  4. Step 4: Simplify right side
    542.12x = 143,944.14
  5. Step 5: Solve for x
    x = 143,944.14/542.12
  6. Step 6: Final answer
    x = 265.52

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.