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Finding the Fourth Proportional to 540.14, 810.15 and 155.42

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Solution

The fourth proportional to 540.14, 810.15 and 155.42 is: 233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 810.15 = 155.42 : x
  2. Step 2: Convert to fraction form
    540.14/810.15 = 155.42/x
  3. Step 3: Cross multiply
    540.14x = 810.15 × 155.42
  4. Step 4: Simplify right side
    540.14x = 125,913.51
  5. Step 5: Solve for x
    x = 125,913.51/540.14
  6. Step 6: Final answer
    x = 233.11

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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.