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Finding the Fourth Proportional to 326.23, 449.78 and 237.84

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Solution

The fourth proportional to 326.23, 449.78 and 237.84 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.23 : 449.78 = 237.84 : x
  2. Step 2: Convert to fraction form
    326.23/449.78 = 237.84/x
  3. Step 3: Cross multiply
    326.23x = 449.78 × 237.84
  4. Step 4: Simplify right side
    326.23x = 106,973.47
  5. Step 5: Solve for x
    x = 106,973.47/326.23
  6. Step 6: Final answer
    x = 327.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.