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Finding the Fourth Proportional to 280.52, 387.20 and 177.08

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Solution

The fourth proportional to 280.52, 387.20 and 177.08 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 387.20 = 177.08 : x
  2. Step 2: Convert to fraction form
    280.52/387.20 = 177.08/x
  3. Step 3: Cross multiply
    280.52x = 387.20 × 177.08
  4. Step 4: Simplify right side
    280.52x = 68,565.38
  5. Step 5: Solve for x
    x = 68,565.38/280.52
  6. Step 6: Final answer
    x = 244.42

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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.