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Finding the Fourth Proportional to 463.28, 639.20 and 288.65

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Solution

The fourth proportional to 463.28, 639.20 and 288.65 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 639.20 = 288.65 : x
  2. Step 2: Convert to fraction form
    463.28/639.20 = 288.65/x
  3. Step 3: Cross multiply
    463.28x = 639.20 × 288.65
  4. Step 4: Simplify right side
    463.28x = 184,500.44
  5. Step 5: Solve for x
    x = 184,500.44/463.28
  6. Step 6: Final answer
    x = 398.25

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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.