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Finding the Fourth Proportional to 280.25, 387.24 and 271.23

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Solution

The fourth proportional to 280.25, 387.24 and 271.23 is: 374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 387.24 = 271.23 : x
  2. Step 2: Convert to fraction form
    280.25/387.24 = 271.23/x
  3. Step 3: Cross multiply
    280.25x = 387.24 × 271.23
  4. Step 4: Simplify right side
    280.25x = 105,031.11
  5. Step 5: Solve for x
    x = 105,031.11/280.25
  6. Step 6: Final answer
    x = 374.78

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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.