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Finding the Fourth Proportional to 542.27, 748.31 and 306.19

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Solution

The fourth proportional to 542.27, 748.31 and 306.19 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.27 : 748.31 = 306.19 : x
  2. Step 2: Convert to fraction form
    542.27/748.31 = 306.19/x
  3. Step 3: Cross multiply
    542.27x = 748.31 × 306.19
  4. Step 4: Simplify right side
    542.27x = 229,125.04
  5. Step 5: Solve for x
    x = 229,125.04/542.27
  6. Step 6: Final answer
    x = 422.53

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.