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Finding the Fourth Proportional to 353.90, 487.82 and 265.41

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Solution

The fourth proportional to 353.90, 487.82 and 265.41 is: 365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 487.82 = 265.41 : x
  2. Step 2: Convert to fraction form
    353.90/487.82 = 265.41/x
  3. Step 3: Cross multiply
    353.90x = 487.82 × 265.41
  4. Step 4: Simplify right side
    353.90x = 129,472.97
  5. Step 5: Solve for x
    x = 129,472.97/353.90
  6. Step 6: Final answer
    x = 365.84

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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.