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Finding the Fourth Proportional to 147.42, 219.92 and 138.11

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Solution

The fourth proportional to 147.42, 219.92 and 138.11 is: 206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 219.92 = 138.11 : x
  2. Step 2: Convert to fraction form
    147.42/219.92 = 138.11/x
  3. Step 3: Cross multiply
    147.42x = 219.92 × 138.11
  4. Step 4: Simplify right side
    147.42x = 30,371.36
  5. Step 5: Solve for x
    x = 30,371.36/147.42
  6. Step 6: Final answer
    x = 206.02

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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.