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Finding the Fourth Proportional to 370.72, 557.16 and 343.92

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Solution

The fourth proportional to 370.72, 557.16 and 343.92 is: 516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.72 : 557.16 = 343.92 : x
  2. Step 2: Convert to fraction form
    370.72/557.16 = 343.92/x
  3. Step 3: Cross multiply
    370.72x = 557.16 × 343.92
  4. Step 4: Simplify right side
    370.72x = 191,618.47
  5. Step 5: Solve for x
    x = 191,618.47/370.72
  6. Step 6: Final answer
    x = 516.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.