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Finding the Fourth Proportional to 463.22, 694.34 and 154.78

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Solution

The fourth proportional to 463.22, 694.34 and 154.78 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 694.34 = 154.78 : x
  2. Step 2: Convert to fraction form
    463.22/694.34 = 154.78/x
  3. Step 3: Cross multiply
    463.22x = 694.34 × 154.78
  4. Step 4: Simplify right side
    463.22x = 107,469.95
  5. Step 5: Solve for x
    x = 107,469.95/463.22
  6. Step 6: Final answer
    x = 232.01

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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.