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Finding the Fourth Proportional to 402.80, 603.76 and 311.92

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Solution

The fourth proportional to 402.80, 603.76 and 311.92 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 603.76 = 311.92 : x
  2. Step 2: Convert to fraction form
    402.80/603.76 = 311.92/x
  3. Step 3: Cross multiply
    402.80x = 603.76 × 311.92
  4. Step 4: Simplify right side
    402.80x = 188,324.82
  5. Step 5: Solve for x
    x = 188,324.82/402.80
  6. Step 6: Final answer
    x = 467.54

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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.