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Finding the Fourth Proportional to 179.03, 267.29 and 138.47

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Solution

The fourth proportional to 179.03, 267.29 and 138.47 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.03 : 267.29 = 138.47 : x
  2. Step 2: Convert to fraction form
    179.03/267.29 = 138.47/x
  3. Step 3: Cross multiply
    179.03x = 267.29 × 138.47
  4. Step 4: Simplify right side
    179.03x = 37,009.62
  5. Step 5: Solve for x
    x = 37,009.62/179.03
  6. Step 6: Final answer
    x = 206.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.