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Finding the Fourth Proportional to 176.13, 242.97 and 102.42

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Solution

The fourth proportional to 176.13, 242.97 and 102.42 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 242.97 = 102.42 : x
  2. Step 2: Convert to fraction form
    176.13/242.97 = 102.42/x
  3. Step 3: Cross multiply
    176.13x = 242.97 × 102.42
  4. Step 4: Simplify right side
    176.13x = 24,884.48
  5. Step 5: Solve for x
    x = 24,884.48/176.13
  6. Step 6: Final answer
    x = 141.28

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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.