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Finding the Fourth Proportional to 542.09, 813.31 and 217.49

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Solution

The fourth proportional to 542.09, 813.31 and 217.49 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 813.31 = 217.49 : x
  2. Step 2: Convert to fraction form
    542.09/813.31 = 217.49/x
  3. Step 3: Cross multiply
    542.09x = 813.31 × 217.49
  4. Step 4: Simplify right side
    542.09x = 176,882.18
  5. Step 5: Solve for x
    x = 176,882.18/542.09
  6. Step 6: Final answer
    x = 326.30

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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.