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Finding the Fourth Proportional to 177.33, 267.54 and 166.39

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Solution

The fourth proportional to 177.33, 267.54 and 166.39 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.33 : 267.54 = 166.39 : x
  2. Step 2: Convert to fraction form
    177.33/267.54 = 166.39/x
  3. Step 3: Cross multiply
    177.33x = 267.54 × 166.39
  4. Step 4: Simplify right side
    177.33x = 44,515.98
  5. Step 5: Solve for x
    x = 44,515.98/177.33
  6. Step 6: Final answer
    x = 251.03

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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.