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Finding the Fourth Proportional to 177.20, 267.14 and 167.60

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Solution

The fourth proportional to 177.20, 267.14 and 167.60 is: 252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 267.14 = 167.60 : x
  2. Step 2: Convert to fraction form
    177.20/267.14 = 167.60/x
  3. Step 3: Cross multiply
    177.20x = 267.14 × 167.60
  4. Step 4: Simplify right side
    177.20x = 44,772.66
  5. Step 5: Solve for x
    x = 44,772.66/177.20
  6. Step 6: Final answer
    x = 252.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.