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Finding the Fourth Proportional to 400.92, 603.78 and 310.20

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Solution

The fourth proportional to 400.92, 603.78 and 310.20 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 603.78 = 310.20 : x
  2. Step 2: Convert to fraction form
    400.92/603.78 = 310.20/x
  3. Step 3: Cross multiply
    400.92x = 603.78 × 310.20
  4. Step 4: Simplify right side
    400.92x = 187,292.56
  5. Step 5: Solve for x
    x = 187,292.56/400.92
  6. Step 6: Final answer
    x = 467.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.