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Finding the Fourth Proportional to 89.59, 135.17 and 86.56

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Solution

The fourth proportional to 89.59, 135.17 and 86.56 is: 130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.59 : 135.17 = 86.56 : x
  2. Step 2: Convert to fraction form
    89.59/135.17 = 86.56/x
  3. Step 3: Cross multiply
    89.59x = 135.17 × 86.56
  4. Step 4: Simplify right side
    89.59x = 11,700.32
  5. Step 5: Solve for x
    x = 11,700.32/89.59
  6. Step 6: Final answer
    x = 130.60

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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.