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Finding the Fourth Proportional to 135.27, 186.69 and 86.16

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Solution

The fourth proportional to 135.27, 186.69 and 86.16 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.27 : 186.69 = 86.16 : x
  2. Step 2: Convert to fraction form
    135.27/186.69 = 86.16/x
  3. Step 3: Cross multiply
    135.27x = 186.69 × 86.16
  4. Step 4: Simplify right side
    135.27x = 16,086.23
  5. Step 5: Solve for x
    x = 16,086.23/135.27
  6. Step 6: Final answer
    x = 118.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.