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Finding the Fourth Proportional to 353.97, 487.11 and 270.74

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Solution

The fourth proportional to 353.97, 487.11 and 270.74 is: 372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.97 : 487.11 = 270.74 : x
  2. Step 2: Convert to fraction form
    353.97/487.11 = 270.74/x
  3. Step 3: Cross multiply
    353.97x = 487.11 × 270.74
  4. Step 4: Simplify right side
    353.97x = 131,880.16
  5. Step 5: Solve for x
    x = 131,880.16/353.97
  6. Step 6: Final answer
    x = 372.57

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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.