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Finding the Fourth Proportional to 138.03, 206.82 and 89.82

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Solution

The fourth proportional to 138.03, 206.82 and 89.82 is: 134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 206.82 = 89.82 : x
  2. Step 2: Convert to fraction form
    138.03/206.82 = 89.82/x
  3. Step 3: Cross multiply
    138.03x = 206.82 × 89.82
  4. Step 4: Simplify right side
    138.03x = 18,576.57
  5. Step 5: Solve for x
    x = 18,576.57/138.03
  6. Step 6: Final answer
    x = 134.58

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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.