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Finding the Fourth Proportional to 177.78, 267.78 and 141.96

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Solution

The fourth proportional to 177.78, 267.78 and 141.96 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 267.78 = 141.96 : x
  2. Step 2: Convert to fraction form
    177.78/267.78 = 141.96/x
  3. Step 3: Cross multiply
    177.78x = 267.78 × 141.96
  4. Step 4: Simplify right side
    177.78x = 38,014.05
  5. Step 5: Solve for x
    x = 38,014.05/177.78
  6. Step 6: Final answer
    x = 213.83

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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.