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Finding the Fourth Proportional to 68.90, 95.19 and 60.57

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Solution

The fourth proportional to 68.90, 95.19 and 60.57 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.90 : 95.19 = 60.57 : x
  2. Step 2: Convert to fraction form
    68.90/95.19 = 60.57/x
  3. Step 3: Cross multiply
    68.90x = 95.19 × 60.57
  4. Step 4: Simplify right side
    68.90x = 5,765.66
  5. Step 5: Solve for x
    x = 5,765.66/68.90
  6. Step 6: Final answer
    x = 83.68

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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.