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Finding the Fourth Proportional to 462.60, 694.00 and 137.96

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Solution

The fourth proportional to 462.60, 694.00 and 137.96 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.60 : 694.00 = 137.96 : x
  2. Step 2: Convert to fraction form
    462.60/694.00 = 137.96/x
  3. Step 3: Cross multiply
    462.60x = 694.00 × 137.96
  4. Step 4: Simplify right side
    462.60x = 95,743.54
  5. Step 5: Solve for x
    x = 95,743.54/462.60
  6. Step 6: Final answer
    x = 206.97

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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.