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Finding the Fourth Proportional to 135.31, 186.62 and 86.17

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Solution

The fourth proportional to 135.31, 186.62 and 86.17 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 186.62 = 86.17 : x
  2. Step 2: Convert to fraction form
    135.31/186.62 = 86.17/x
  3. Step 3: Cross multiply
    135.31x = 186.62 × 86.17
  4. Step 4: Simplify right side
    135.31x = 16,080.15
  5. Step 5: Solve for x
    x = 16,080.15/135.31
  6. Step 6: Final answer
    x = 118.84

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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.