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Finding the Fourth Proportional to 147.86, 220.66 and 138.26

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Solution

The fourth proportional to 147.86, 220.66 and 138.26 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 220.66 = 138.26 : x
  2. Step 2: Convert to fraction form
    147.86/220.66 = 138.26/x
  3. Step 3: Cross multiply
    147.86x = 220.66 × 138.26
  4. Step 4: Simplify right side
    147.86x = 30,508.45
  5. Step 5: Solve for x
    x = 30,508.45/147.86
  6. Step 6: Final answer
    x = 206.33

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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.