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Finding the Fourth Proportional to 282.28, 423.24 and 137.92

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Solution

The fourth proportional to 282.28, 423.24 and 137.92 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.28 : 423.24 = 137.92 : x
  2. Step 2: Convert to fraction form
    282.28/423.24 = 137.92/x
  3. Step 3: Cross multiply
    282.28x = 423.24 × 137.92
  4. Step 4: Simplify right side
    282.28x = 58,373.26
  5. Step 5: Solve for x
    x = 58,373.26/282.28
  6. Step 6: Final answer
    x = 206.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.