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Finding the Fourth Proportional to 463.43, 694.49 and 278.15

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Solution

The fourth proportional to 463.43, 694.49 and 278.15 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 694.49 = 278.15 : x
  2. Step 2: Convert to fraction form
    463.43/694.49 = 278.15/x
  3. Step 3: Cross multiply
    463.43x = 694.49 × 278.15
  4. Step 4: Simplify right side
    463.43x = 193,171.00
  5. Step 5: Solve for x
    x = 193,171.00/463.43
  6. Step 6: Final answer
    x = 416.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.