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Finding the Fourth Proportional to 354.38, 489.01 and 221.79

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Solution

The fourth proportional to 354.38, 489.01 and 221.79 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.38 : 489.01 = 221.79 : x
  2. Step 2: Convert to fraction form
    354.38/489.01 = 221.79/x
  3. Step 3: Cross multiply
    354.38x = 489.01 × 221.79
  4. Step 4: Simplify right side
    354.38x = 108,457.53
  5. Step 5: Solve for x
    x = 108,457.53/354.38
  6. Step 6: Final answer
    x = 306.05

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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.