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Finding the Fourth Proportional to 134.67, 185.78 and 117.15

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Solution

The fourth proportional to 134.67, 185.78 and 117.15 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.67 : 185.78 = 117.15 : x
  2. Step 2: Convert to fraction form
    134.67/185.78 = 117.15/x
  3. Step 3: Cross multiply
    134.67x = 185.78 × 117.15
  4. Step 4: Simplify right side
    134.67x = 21,764.13
  5. Step 5: Solve for x
    x = 21,764.13/134.67
  6. Step 6: Final answer
    x = 161.61

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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.