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Finding the Fourth Proportional to 407.38, 562.17 and 241.49

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Solution

The fourth proportional to 407.38, 562.17 and 241.49 is: 333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.38 : 562.17 = 241.49 : x
  2. Step 2: Convert to fraction form
    407.38/562.17 = 241.49/x
  3. Step 3: Cross multiply
    407.38x = 562.17 × 241.49
  4. Step 4: Simplify right side
    407.38x = 135,759.23
  5. Step 5: Solve for x
    x = 135,759.23/407.38
  6. Step 6: Final answer
    x = 333.25

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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.