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Finding the Fourth Proportional to 373.86, 516.51 and 280.94

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Solution

The fourth proportional to 373.86, 516.51 and 280.94 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 516.51 = 280.94 : x
  2. Step 2: Convert to fraction form
    373.86/516.51 = 280.94/x
  3. Step 3: Cross multiply
    373.86x = 516.51 × 280.94
  4. Step 4: Simplify right side
    373.86x = 145,105.74
  5. Step 5: Solve for x
    x = 145,105.74/373.86
  6. Step 6: Final answer
    x = 388.13

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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.