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Finding the Fourth Proportional to 95, 131 and 65.88

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Solution

The fourth proportional to 95, 131 and 65.88 is: 90.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95 : 131 = 65.88 : x
  2. Step 2: Convert to fraction form
    95/131 = 65.88/x
  3. Step 3: Cross multiply
    95x = 131 × 65.88
  4. Step 4: Simplify right side
    95x = 8,630.28
  5. Step 5: Solve for x
    x = 8,630.28/95
  6. Step 6: Final answer
    x = 90.85

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1.5x scale

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.