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Finding the Fourth Proportional to 61.28, 83.88 and 61.28

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Solution

The fourth proportional to 61.28, 83.88 and 61.28 is: 83.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 83.88 = 61.28 : x
  2. Step 2: Convert to fraction form
    61.28/83.88 = 61.28/x
  3. Step 3: Cross multiply
    61.28x = 83.88 × 61.28
  4. Step 4: Simplify right side
    61.28x = 5,140.17
  5. Step 5: Solve for x
    x = 5,140.17/61.28
  6. Step 6: Final answer
    x = 83.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.