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Finding the Fourth Proportional to 374.86, 516.78 and 269.92

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Solution

The fourth proportional to 374.86, 516.78 and 269.92 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.86 : 516.78 = 269.92 : x
  2. Step 2: Convert to fraction form
    374.86/516.78 = 269.92/x
  3. Step 3: Cross multiply
    374.86x = 516.78 × 269.92
  4. Step 4: Simplify right side
    374.86x = 139,489.26
  5. Step 5: Solve for x
    x = 139,489.26/374.86
  6. Step 6: Final answer
    x = 372.11

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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.