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Finding the Fourth Proportional to 280.71, 387.44 and 175.91

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Solution

The fourth proportional to 280.71, 387.44 and 175.91 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 387.44 = 175.91 : x
  2. Step 2: Convert to fraction form
    280.71/387.44 = 175.91/x
  3. Step 3: Cross multiply
    280.71x = 387.44 × 175.91
  4. Step 4: Simplify right side
    280.71x = 68,151.75
  5. Step 5: Solve for x
    x = 68,151.75/280.71
  6. Step 6: Final answer
    x = 242.78

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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.