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Finding the Fourth Proportional to 65.91, 99 and 41.88

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Solution

The fourth proportional to 65.91, 99 and 41.88 is: 62.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.91 : 99 = 41.88 : x
  2. Step 2: Convert to fraction form
    65.91/99 = 41.88/x
  3. Step 3: Cross multiply
    65.91x = 99 × 41.88
  4. Step 4: Simplify right side
    65.91x = 4,146.12
  5. Step 5: Solve for x
    x = 4,146.12/65.91
  6. Step 6: Final answer
    x = 62.91

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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.