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Finding the Fourth Proportional to 220.05, 329.54 and 147.69

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Solution

The fourth proportional to 220.05, 329.54 and 147.69 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 329.54 = 147.69 : x
  2. Step 2: Convert to fraction form
    220.05/329.54 = 147.69/x
  3. Step 3: Cross multiply
    220.05x = 329.54 × 147.69
  4. Step 4: Simplify right side
    220.05x = 48,669.02
  5. Step 5: Solve for x
    x = 48,669.02/220.05
  6. Step 6: Final answer
    x = 221.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.