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Finding the Fourth Proportional to 282.56, 424 and 138.40

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Solution

The fourth proportional to 282.56, 424 and 138.40 is: 207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 424 = 138.40 : x
  2. Step 2: Convert to fraction form
    282.56/424 = 138.40/x
  3. Step 3: Cross multiply
    282.56x = 424 × 138.40
  4. Step 4: Simplify right side
    282.56x = 58,681.60
  5. Step 5: Solve for x
    x = 58,681.60/282.56
  6. Step 6: Final answer
    x = 207.68

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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.