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Finding the Fourth Proportional to 136.78, 188.79 and 130.27

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Solution

The fourth proportional to 136.78, 188.79 and 130.27 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 188.79 = 130.27 : x
  2. Step 2: Convert to fraction form
    136.78/188.79 = 130.27/x
  3. Step 3: Cross multiply
    136.78x = 188.79 × 130.27
  4. Step 4: Simplify right side
    136.78x = 24,593.67
  5. Step 5: Solve for x
    x = 24,593.67/136.78
  6. Step 6: Final answer
    x = 179.80

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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.