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Finding the Fourth Proportional to 487.14, 672.24 and 280.14

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Solution

The fourth proportional to 487.14, 672.24 and 280.14 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 672.24 = 280.14 : x
  2. Step 2: Convert to fraction form
    487.14/672.24 = 280.14/x
  3. Step 3: Cross multiply
    487.14x = 672.24 × 280.14
  4. Step 4: Simplify right side
    487.14x = 188,321.31
  5. Step 5: Solve for x
    x = 188,321.31/487.14
  6. Step 6: Final answer
    x = 386.59

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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.