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Finding the Fourth Proportional to 621.80, 932.84 and 210.92

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Solution

The fourth proportional to 621.80, 932.84 and 210.92 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.80 : 932.84 = 210.92 : x
  2. Step 2: Convert to fraction form
    621.80/932.84 = 210.92/x
  3. Step 3: Cross multiply
    621.80x = 932.84 × 210.92
  4. Step 4: Simplify right side
    621.80x = 196,754.61
  5. Step 5: Solve for x
    x = 196,754.61/621.80
  6. Step 6: Final answer
    x = 316.43

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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.