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Finding the Fourth Proportional to 176.01, 242.97 and 136.78

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Solution

The fourth proportional to 176.01, 242.97 and 136.78 is: 188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.01 : 242.97 = 136.78 : x
  2. Step 2: Convert to fraction form
    176.01/242.97 = 136.78/x
  3. Step 3: Cross multiply
    176.01x = 242.97 × 136.78
  4. Step 4: Simplify right side
    176.01x = 33,234.15
  5. Step 5: Solve for x
    x = 33,234.15/176.01
  6. Step 6: Final answer
    x = 188.82

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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.