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Finding the Fourth Proportional to 138.07, 206.25 and 112.46

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Solution

The fourth proportional to 138.07, 206.25 and 112.46 is: 167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.07 : 206.25 = 112.46 : x
  2. Step 2: Convert to fraction form
    138.07/206.25 = 112.46/x
  3. Step 3: Cross multiply
    138.07x = 206.25 × 112.46
  4. Step 4: Simplify right side
    138.07x = 23,193.42
  5. Step 5: Solve for x
    x = 23,193.42/138.07
  6. Step 6: Final answer
    x = 167.98

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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.