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Finding the Fourth Proportional to 463.20, 639.24 and 288.48

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Solution

The fourth proportional to 463.20, 639.24 and 288.48 is: 398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 639.24 = 288.48 : x
  2. Step 2: Convert to fraction form
    463.20/639.24 = 288.48/x
  3. Step 3: Cross multiply
    463.20x = 639.24 × 288.48
  4. Step 4: Simplify right side
    463.20x = 184,407.96
  5. Step 5: Solve for x
    x = 184,407.96/463.20
  6. Step 6: Final answer
    x = 398.12

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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.