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Finding the Fourth Proportional to 443.38, 611.72 and 296.11

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Solution

The fourth proportional to 443.38, 611.72 and 296.11 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.38 : 611.72 = 296.11 : x
  2. Step 2: Convert to fraction form
    443.38/611.72 = 296.11/x
  3. Step 3: Cross multiply
    443.38x = 611.72 × 296.11
  4. Step 4: Simplify right side
    443.38x = 181,134.93
  5. Step 5: Solve for x
    x = 181,134.93/443.38
  6. Step 6: Final answer
    x = 408.53

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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.