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Finding the Fourth Proportional to 463.92, 640.16 and 286.82

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Solution

The fourth proportional to 463.92, 640.16 and 286.82 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 640.16 = 286.82 : x
  2. Step 2: Convert to fraction form
    463.92/640.16 = 286.82/x
  3. Step 3: Cross multiply
    463.92x = 640.16 × 286.82
  4. Step 4: Simplify right side
    463.92x = 183,610.69
  5. Step 5: Solve for x
    x = 183,610.69/463.92
  6. Step 6: Final answer
    x = 395.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.