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Finding the Fourth Proportional to 178.50, 267.75 and 82.31

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Solution

The fourth proportional to 178.50, 267.75 and 82.31 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 267.75 = 82.31 : x
  2. Step 2: Convert to fraction form
    178.50/267.75 = 82.31/x
  3. Step 3: Cross multiply
    178.50x = 267.75 × 82.31
  4. Step 4: Simplify right side
    178.50x = 22,038.50
  5. Step 5: Solve for x
    x = 22,038.50/178.50
  6. Step 6: Final answer
    x = 123.47

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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.