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Finding the Fourth Proportional to 147.06, 219.06 and 138.78

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Solution

The fourth proportional to 147.06, 219.06 and 138.78 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 219.06 = 138.78 : x
  2. Step 2: Convert to fraction form
    147.06/219.06 = 138.78/x
  3. Step 3: Cross multiply
    147.06x = 219.06 × 138.78
  4. Step 4: Simplify right side
    147.06x = 30,401.15
  5. Step 5: Solve for x
    x = 30,401.15/147.06
  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.