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Finding the Fourth Proportional to 178.50, 267.25 and 138.00

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Solution

The fourth proportional to 178.50, 267.25 and 138.00 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 267.25 = 138.00 : x
  2. Step 2: Convert to fraction form
    178.50/267.25 = 138.00/x
  3. Step 3: Cross multiply
    178.50x = 267.25 × 138.00
  4. Step 4: Simplify right side
    178.50x = 36,880.82
  5. Step 5: Solve for x
    x = 36,880.82/178.50
  6. Step 6: Final answer
    x = 206.61

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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.