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Finding the Fourth Proportional to 69.09, 95.31 and 59.86

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Solution

The fourth proportional to 69.09, 95.31 and 59.86 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.09 : 95.31 = 59.86 : x
  2. Step 2: Convert to fraction form
    69.09/95.31 = 59.86/x
  3. Step 3: Cross multiply
    69.09x = 95.31 × 59.86
  4. Step 4: Simplify right side
    69.09x = 5,705.38
  5. Step 5: Solve for x
    x = 5,705.38/69.09
  6. Step 6: Final answer
    x = 82.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.