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Finding the Fourth Proportional to 282.80, 423.96 and 138.32

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Solution

The fourth proportional to 282.80, 423.96 and 138.32 is: 207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 423.96 = 138.32 : x
  2. Step 2: Convert to fraction form
    282.80/423.96 = 138.32/x
  3. Step 3: Cross multiply
    282.80x = 423.96 × 138.32
  4. Step 4: Simplify right side
    282.80x = 58,642.15
  5. Step 5: Solve for x
    x = 58,642.15/282.80
  6. Step 6: Final answer
    x = 207.36

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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.