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Finding the Fourth Proportional to 177.07, 266.20 and 167.66

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Solution

The fourth proportional to 177.07, 266.20 and 167.66 is: 252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.07 : 266.20 = 167.66 : x
  2. Step 2: Convert to fraction form
    177.07/266.20 = 167.66/x
  3. Step 3: Cross multiply
    177.07x = 266.20 × 167.66
  4. Step 4: Simplify right side
    177.07x = 44,630.20
  5. Step 5: Solve for x
    x = 44,630.20/177.07
  6. Step 6: Final answer
    x = 252.04

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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.