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Finding the Fourth Proportional to 463.41, 639.50 and 256.41

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Solution

The fourth proportional to 463.41, 639.50 and 256.41 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.41 : 639.50 = 256.41 : x
  2. Step 2: Convert to fraction form
    463.41/639.50 = 256.41/x
  3. Step 3: Cross multiply
    463.41x = 639.50 × 256.41
  4. Step 4: Simplify right side
    463.41x = 163,974.84
  5. Step 5: Solve for x
    x = 163,974.84/463.41
  6. Step 6: Final answer
    x = 353.84

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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.