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Finding the Fourth Proportional to 463.60, 694.93 and 189.76

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Solution

The fourth proportional to 463.60, 694.93 and 189.76 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.60 : 694.93 = 189.76 : x
  2. Step 2: Convert to fraction form
    463.60/694.93 = 189.76/x
  3. Step 3: Cross multiply
    463.60x = 694.93 × 189.76
  4. Step 4: Simplify right side
    463.60x = 131,869.92
  5. Step 5: Solve for x
    x = 131,869.92/463.60
  6. Step 6: Final answer
    x = 284.45

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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.