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Finding the Fourth Proportional to 415.80, 573.33 and 310.71

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Solution

The fourth proportional to 415.80, 573.33 and 310.71 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 573.33 = 310.71 : x
  2. Step 2: Convert to fraction form
    415.80/573.33 = 310.71/x
  3. Step 3: Cross multiply
    415.80x = 573.33 × 310.71
  4. Step 4: Simplify right side
    415.80x = 178,140.73
  5. Step 5: Solve for x
    x = 178,140.73/415.80
  6. Step 6: Final answer
    x = 428.43

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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.