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Finding the Fourth Proportional to 463.28, 639.24 and 286.08

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Solution

The fourth proportional to 463.28, 639.24 and 286.08 is: 394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 639.24 = 286.08 : x
  2. Step 2: Convert to fraction form
    463.28/639.24 = 286.08/x
  3. Step 3: Cross multiply
    463.28x = 639.24 × 286.08
  4. Step 4: Simplify right side
    463.28x = 182,873.78
  5. Step 5: Solve for x
    x = 182,873.78/463.28
  6. Step 6: Final answer
    x = 394.74

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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.