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Finding the Fourth Proportional to 177.67, 267.50 and 123.90

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Solution

The fourth proportional to 177.67, 267.50 and 123.90 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 267.50 = 123.90 : x
  2. Step 2: Convert to fraction form
    177.67/267.50 = 123.90/x
  3. Step 3: Cross multiply
    177.67x = 267.50 × 123.90
  4. Step 4: Simplify right side
    177.67x = 33,143.25
  5. Step 5: Solve for x
    x = 33,143.25/177.67
  6. Step 6: Final answer
    x = 186.54

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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.