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Finding the Fourth Proportional to 443.45, 611.82 and 296.12

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Solution

The fourth proportional to 443.45, 611.82 and 296.12 is: 408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.45 : 611.82 = 296.12 : x
  2. Step 2: Convert to fraction form
    443.45/611.82 = 296.12/x
  3. Step 3: Cross multiply
    443.45x = 611.82 × 296.12
  4. Step 4: Simplify right side
    443.45x = 181,173.67
  5. Step 5: Solve for x
    x = 181,173.67/443.45
  6. Step 6: Final answer
    x = 408.55

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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.