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Finding the Fourth Proportional to 463.86, 639.84 and 306.44

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Solution

The fourth proportional to 463.86, 639.84 and 306.44 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 639.84 = 306.44 : x
  2. Step 2: Convert to fraction form
    463.86/639.84 = 306.44/x
  3. Step 3: Cross multiply
    463.86x = 639.84 × 306.44
  4. Step 4: Simplify right side
    463.86x = 196,069.37
  5. Step 5: Solve for x
    x = 196,069.37/463.86
  6. Step 6: Final answer
    x = 422.69

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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.