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Finding the Fourth Proportional to 621.81, 932.45 and 231.66

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Solution

The fourth proportional to 621.81, 932.45 and 231.66 is: 347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.81 : 932.45 = 231.66 : x
  2. Step 2: Convert to fraction form
    621.81/932.45 = 231.66/x
  3. Step 3: Cross multiply
    621.81x = 932.45 × 231.66
  4. Step 4: Simplify right side
    621.81x = 216,010.21
  5. Step 5: Solve for x
    x = 216,010.21/621.81
  6. Step 6: Final answer
    x = 347.39

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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.