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Finding the Fourth Proportional to 148.06, 221.01 and 129.84

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Solution

The fourth proportional to 148.06, 221.01 and 129.84 is: 193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 221.01 = 129.84 : x
  2. Step 2: Convert to fraction form
    148.06/221.01 = 129.84/x
  3. Step 3: Cross multiply
    148.06x = 221.01 × 129.84
  4. Step 4: Simplify right side
    148.06x = 28,695.35
  5. Step 5: Solve for x
    x = 28,695.35/148.06
  6. Step 6: Final answer
    x = 193.81

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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.