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Finding the Fourth Proportional to 177.73, 267.20 and 174.08

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Solution

The fourth proportional to 177.73, 267.20 and 174.08 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 267.20 = 174.08 : x
  2. Step 2: Convert to fraction form
    177.73/267.20 = 174.08/x
  3. Step 3: Cross multiply
    177.73x = 267.20 × 174.08
  4. Step 4: Simplify right side
    177.73x = 46,514.63
  5. Step 5: Solve for x
    x = 46,514.63/177.73
  6. Step 6: Final answer
    x = 261.72

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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.