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Finding the Fourth Proportional to 310.73, 426.24 and 292.10

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Solution

The fourth proportional to 310.73, 426.24 and 292.10 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.73 : 426.24 = 292.10 : x
  2. Step 2: Convert to fraction form
    310.73/426.24 = 292.10/x
  3. Step 3: Cross multiply
    310.73x = 426.24 × 292.10
  4. Step 4: Simplify right side
    310.73x = 124,502.57
  5. Step 5: Solve for x
    x = 124,502.57/310.73
  6. Step 6: Final answer
    x = 400.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.