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Finding the Fourth Proportional to 176.20, 242.60 and 149.92

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Solution

The fourth proportional to 176.20, 242.60 and 149.92 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 242.60 = 149.92 : x
  2. Step 2: Convert to fraction form
    176.20/242.60 = 149.92/x
  3. Step 3: Cross multiply
    176.20x = 242.60 × 149.92
  4. Step 4: Simplify right side
    176.20x = 36,370.59
  5. Step 5: Solve for x
    x = 36,370.59/176.20
  6. Step 6: Final answer
    x = 206.42

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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.