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Finding the Fourth Proportional to 374.20, 516.31 and 243.16

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Solution

The fourth proportional to 374.20, 516.31 and 243.16 is: 335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 516.31 = 243.16 : x
  2. Step 2: Convert to fraction form
    374.20/516.31 = 243.16/x
  3. Step 3: Cross multiply
    374.20x = 516.31 × 243.16
  4. Step 4: Simplify right side
    374.20x = 125,545.94
  5. Step 5: Solve for x
    x = 125,545.94/374.20
  6. Step 6: Final answer
    x = 335.50

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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.