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Finding the Fourth Proportional to 289.97, 400.02 and 220.04

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Solution

The fourth proportional to 289.97, 400.02 and 220.04 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 400.02 = 220.04 : x
  2. Step 2: Convert to fraction form
    289.97/400.02 = 220.04/x
  3. Step 3: Cross multiply
    289.97x = 400.02 × 220.04
  4. Step 4: Simplify right side
    289.97x = 88,020.30
  5. Step 5: Solve for x
    x = 88,020.30/289.97
  6. Step 6: Final answer
    x = 303.55

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