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Finding the Fourth Proportional to 148.34, 221.19 and 148.14

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Solution

The fourth proportional to 148.34, 221.19 and 148.14 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.34 : 221.19 = 148.14 : x
  2. Step 2: Convert to fraction form
    148.34/221.19 = 148.14/x
  3. Step 3: Cross multiply
    148.34x = 221.19 × 148.14
  4. Step 4: Simplify right side
    148.34x = 32,766.53
  5. Step 5: Solve for x
    x = 32,766.53/148.34
  6. Step 6: Final answer
    x = 220.88

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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.