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Finding the Fourth Proportional to 176.38, 242.10 and 168.86

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Solution

The fourth proportional to 176.38, 242.10 and 168.86 is: 231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 242.10 = 168.86 : x
  2. Step 2: Convert to fraction form
    176.38/242.10 = 168.86/x
  3. Step 3: Cross multiply
    176.38x = 242.10 × 168.86
  4. Step 4: Simplify right side
    176.38x = 40,881.01
  5. Step 5: Solve for x
    x = 40,881.01/176.38
  6. Step 6: Final answer
    x = 231.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.