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Finding the Fourth Proportional to 86.87, 131.42 and 86.27

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Solution

The fourth proportional to 86.87, 131.42 and 86.27 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.87 : 131.42 = 86.27 : x
  2. Step 2: Convert to fraction form
    86.87/131.42 = 86.27/x
  3. Step 3: Cross multiply
    86.87x = 131.42 × 86.27
  4. Step 4: Simplify right side
    86.87x = 11,337.16
  5. Step 5: Solve for x
    x = 11,337.16/86.87
  6. Step 6: Final answer
    x = 130.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.