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Finding the Fourth Proportional to 62.88, 86.16 and 62.64

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Solution

The fourth proportional to 62.88, 86.16 and 62.64 is: 85.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.88 : 86.16 = 62.64 : x
  2. Step 2: Convert to fraction form
    62.88/86.16 = 62.64/x
  3. Step 3: Cross multiply
    62.88x = 86.16 × 62.64
  4. Step 4: Simplify right side
    62.88x = 5,397.06
  5. Step 5: Solve for x
    x = 5,397.06/62.88
  6. Step 6: Final answer
    x = 85.83

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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.