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Finding the Fourth Proportional to 221.81, 306.24 and 143.17

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Solution

The fourth proportional to 221.81, 306.24 and 143.17 is: 197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 306.24 = 143.17 : x
  2. Step 2: Convert to fraction form
    221.81/306.24 = 143.17/x
  3. Step 3: Cross multiply
    221.81x = 306.24 × 143.17
  4. Step 4: Simplify right side
    221.81x = 43,842.13
  5. Step 5: Solve for x
    x = 43,842.13/221.81
  6. Step 6: Final answer
    x = 197.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.