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Finding the Fourth Proportional to 176.92, 242.45 and 159.64

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Solution

The fourth proportional to 176.92, 242.45 and 159.64 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 242.45 = 159.64 : x
  2. Step 2: Convert to fraction form
    176.92/242.45 = 159.64/x
  3. Step 3: Cross multiply
    176.92x = 242.45 × 159.64
  4. Step 4: Simplify right side
    176.92x = 38,704.72
  5. Step 5: Solve for x
    x = 38,704.72/176.92
  6. Step 6: Final answer
    x = 218.77

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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.