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Finding the Fourth Proportional to 147.27, 220.29 and 138.63

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Solution

The fourth proportional to 147.27, 220.29 and 138.63 is: 207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 220.29 = 138.63 : x
  2. Step 2: Convert to fraction form
    147.27/220.29 = 138.63/x
  3. Step 3: Cross multiply
    147.27x = 220.29 × 138.63
  4. Step 4: Simplify right side
    147.27x = 30,537.70
  5. Step 5: Solve for x
    x = 30,537.70/147.27
  6. Step 6: Final answer
    x = 207.37

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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.