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Finding the Fourth Proportional to 415.27, 572.39 and 304.70

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Solution

The fourth proportional to 415.27, 572.39 and 304.70 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.27 : 572.39 = 304.70 : x
  2. Step 2: Convert to fraction form
    415.27/572.39 = 304.70/x
  3. Step 3: Cross multiply
    415.27x = 572.39 × 304.70
  4. Step 4: Simplify right side
    415.27x = 174,407.14
  5. Step 5: Solve for x
    x = 174,407.14/415.27
  6. Step 6: Final answer
    x = 419.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.