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Finding the Fourth Proportional to 148.25, 221.25 and 138.47

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Solution

The fourth proportional to 148.25, 221.25 and 138.47 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.25 : 221.25 = 138.47 : x
  2. Step 2: Convert to fraction form
    148.25/221.25 = 138.47/x
  3. Step 3: Cross multiply
    148.25x = 221.25 × 138.47
  4. Step 4: Simplify right side
    148.25x = 30,636.49
  5. Step 5: Solve for x
    x = 30,636.49/148.25
  6. Step 6: Final answer
    x = 206.65

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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.