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Finding the Fourth Proportional to 220.06, 329.91 and 142.84

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Solution

The fourth proportional to 220.06, 329.91 and 142.84 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 329.91 = 142.84 : x
  2. Step 2: Convert to fraction form
    220.06/329.91 = 142.84/x
  3. Step 3: Cross multiply
    220.06x = 329.91 × 142.84
  4. Step 4: Simplify right side
    220.06x = 47,124.34
  5. Step 5: Solve for x
    x = 47,124.34/220.06
  6. Step 6: Final answer
    x = 214.14

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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.