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Finding the Fourth Proportional to 313.73, 472.92 and 296.05

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Solution

The fourth proportional to 313.73, 472.92 and 296.05 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.73 : 472.92 = 296.05 : x
  2. Step 2: Convert to fraction form
    313.73/472.92 = 296.05/x
  3. Step 3: Cross multiply
    313.73x = 472.92 × 296.05
  4. Step 4: Simplify right side
    313.73x = 140,007.97
  5. Step 5: Solve for x
    x = 140,007.97/313.73
  6. Step 6: Final answer
    x = 446.27

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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.