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Finding the Fourth Proportional to 462.27, 693.41 and 299.87

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Solution

The fourth proportional to 462.27, 693.41 and 299.87 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.27 : 693.41 = 299.87 : x
  2. Step 2: Convert to fraction form
    462.27/693.41 = 299.87/x
  3. Step 3: Cross multiply
    462.27x = 693.41 × 299.87
  4. Step 4: Simplify right side
    462.27x = 207,932.86
  5. Step 5: Solve for x
    x = 207,932.86/462.27
  6. Step 6: Final answer
    x = 449.81

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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.