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Finding the Fourth Proportional to 148.53, 221.16 and 146.90

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Solution

The fourth proportional to 148.53, 221.16 and 146.90 is: 218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 221.16 = 146.90 : x
  2. Step 2: Convert to fraction form
    148.53/221.16 = 146.90/x
  3. Step 3: Cross multiply
    148.53x = 221.16 × 146.90
  4. Step 4: Simplify right side
    148.53x = 32,487.30
  5. Step 5: Solve for x
    x = 32,487.30/148.53
  6. Step 6: Final answer
    x = 218.73

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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.