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Finding the Fourth Proportional to 402.73, 602.94 and 311.60

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Solution

The fourth proportional to 402.73, 602.94 and 311.60 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.73 : 602.94 = 311.60 : x
  2. Step 2: Convert to fraction form
    402.73/602.94 = 311.60/x
  3. Step 3: Cross multiply
    402.73x = 602.94 × 311.60
  4. Step 4: Simplify right side
    402.73x = 187,876.10
  5. Step 5: Solve for x
    x = 187,876.10/402.73
  6. Step 6: Final answer
    x = 466.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.