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Finding the Fourth Proportional to 415.38, 573.17 and 260.13

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Solution

The fourth proportional to 415.38, 573.17 and 260.13 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 573.17 = 260.13 : x
  2. Step 2: Convert to fraction form
    415.38/573.17 = 260.13/x
  3. Step 3: Cross multiply
    415.38x = 573.17 × 260.13
  4. Step 4: Simplify right side
    415.38x = 149,097.41
  5. Step 5: Solve for x
    x = 149,097.41/415.38
  6. Step 6: Final answer
    x = 358.94

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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.