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Finding the Fourth Proportional to 353.87, 527.96 and 314.88

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Solution

The fourth proportional to 353.87, 527.96 and 314.88 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.87 : 527.96 = 314.88 : x
  2. Step 2: Convert to fraction form
    353.87/527.96 = 314.88/x
  3. Step 3: Cross multiply
    353.87x = 527.96 × 314.88
  4. Step 4: Simplify right side
    353.87x = 166,242.47
  5. Step 5: Solve for x
    x = 166,242.47/353.87
  6. Step 6: Final answer
    x = 469.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.