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Finding the Fourth Proportional to 86.53, 129.76 and 25.66

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Solution

The fourth proportional to 86.53, 129.76 and 25.66 is: 38.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.53 : 129.76 = 25.66 : x
  2. Step 2: Convert to fraction form
    86.53/129.76 = 25.66/x
  3. Step 3: Cross multiply
    86.53x = 129.76 × 25.66
  4. Step 4: Simplify right side
    86.53x = 3,329.64
  5. Step 5: Solve for x
    x = 3,329.64/86.53
  6. Step 6: Final answer
    x = 38.48

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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.