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Finding the Fourth Proportional to 135.41, 186.90 and 85.59

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Solution

The fourth proportional to 135.41, 186.90 and 85.59 is: 118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.41 : 186.90 = 85.59 : x
  2. Step 2: Convert to fraction form
    135.41/186.90 = 85.59/x
  3. Step 3: Cross multiply
    135.41x = 186.90 × 85.59
  4. Step 4: Simplify right side
    135.41x = 15,996.30
  5. Step 5: Solve for x
    x = 15,996.30/135.41
  6. Step 6: Final answer
    x = 118.13

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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.