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Finding the Fourth Proportional to 462.55, 694.11 and 215.71

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Solution

The fourth proportional to 462.55, 694.11 and 215.71 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.55 : 694.11 = 215.71 : x
  2. Step 2: Convert to fraction form
    462.55/694.11 = 215.71/x
  3. Step 3: Cross multiply
    462.55x = 694.11 × 215.71
  4. Step 4: Simplify right side
    462.55x = 149,726.47
  5. Step 5: Solve for x
    x = 149,726.47/462.55
  6. Step 6: Final answer
    x = 323.70

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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.