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Finding the Fourth Proportional to 415.19, 572.96 and 284.19

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Solution

The fourth proportional to 415.19, 572.96 and 284.19 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.19 : 572.96 = 284.19 : x
  2. Step 2: Convert to fraction form
    415.19/572.96 = 284.19/x
  3. Step 3: Cross multiply
    415.19x = 572.96 × 284.19
  4. Step 4: Simplify right side
    415.19x = 162,828.08
  5. Step 5: Solve for x
    x = 162,828.08/415.19
  6. Step 6: Final answer
    x = 392.18

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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.