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Finding the Fourth Proportional to 463.55, 694.91 and 189.56

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Solution

The fourth proportional to 463.55, 694.91 and 189.56 is: 284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.55 : 694.91 = 189.56 : x
  2. Step 2: Convert to fraction form
    463.55/694.91 = 189.56/x
  3. Step 3: Cross multiply
    463.55x = 694.91 × 189.56
  4. Step 4: Simplify right side
    463.55x = 131,729.35
  5. Step 5: Solve for x
    x = 131,729.35/463.55
  6. Step 6: Final answer
    x = 284.18

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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.