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Finding the Fourth Proportional to 177.62, 265.85 and 160.79

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Solution

The fourth proportional to 177.62, 265.85 and 160.79 is: 240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.62 : 265.85 = 160.79 : x
  2. Step 2: Convert to fraction form
    177.62/265.85 = 160.79/x
  3. Step 3: Cross multiply
    177.62x = 265.85 × 160.79
  4. Step 4: Simplify right side
    177.62x = 42,743.89
  5. Step 5: Solve for x
    x = 42,743.89/177.62
  6. Step 6: Final answer
    x = 240.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.