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Finding the Fourth Proportional to 326.06, 490.85 and 281.40

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Solution

The fourth proportional to 326.06, 490.85 and 281.40 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 490.85 = 281.40 : x
  2. Step 2: Convert to fraction form
    326.06/490.85 = 281.40/x
  3. Step 3: Cross multiply
    326.06x = 490.85 × 281.40
  4. Step 4: Simplify right side
    326.06x = 138,123.78
  5. Step 5: Solve for x
    x = 138,123.78/326.06
  6. Step 6: Final answer
    x = 423.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.