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Finding the Fourth Proportional to 443.57, 611.53 and 310.61

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Solution

The fourth proportional to 443.57, 611.53 and 310.61 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 611.53 = 310.61 : x
  2. Step 2: Convert to fraction form
    443.57/611.53 = 310.61/x
  3. Step 3: Cross multiply
    443.57x = 611.53 × 310.61
  4. Step 4: Simplify right side
    443.57x = 189,947.33
  5. Step 5: Solve for x
    x = 189,947.33/443.57
  6. Step 6: Final answer
    x = 428.22

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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.