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Finding the Fourth Proportional to 136.40, 188.06 and 108.86

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Solution

The fourth proportional to 136.40, 188.06 and 108.86 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.40 : 188.06 = 108.86 : x
  2. Step 2: Convert to fraction form
    136.40/188.06 = 108.86/x
  3. Step 3: Cross multiply
    136.40x = 188.06 × 108.86
  4. Step 4: Simplify right side
    136.40x = 20,470.73
  5. Step 5: Solve for x
    x = 20,470.73/136.40
  6. Step 6: Final answer
    x = 150.08

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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.