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Finding the Fourth Proportional to 313.45, 472.82 and 296.85

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Solution

The fourth proportional to 313.45, 472.82 and 296.85 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 472.82 = 296.85 : x
  2. Step 2: Convert to fraction form
    313.45/472.82 = 296.85/x
  3. Step 3: Cross multiply
    313.45x = 472.82 × 296.85
  4. Step 4: Simplify right side
    313.45x = 140,356.62
  5. Step 5: Solve for x
    x = 140,356.62/313.45
  6. Step 6: Final answer
    x = 447.78

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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.