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Finding the Fourth Proportional to 326.10, 449.98 and 186.19

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Solution

The fourth proportional to 326.10, 449.98 and 186.19 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 449.98 = 186.19 : x
  2. Step 2: Convert to fraction form
    326.10/449.98 = 186.19/x
  3. Step 3: Cross multiply
    326.10x = 449.98 × 186.19
  4. Step 4: Simplify right side
    326.10x = 83,781.78
  5. Step 5: Solve for x
    x = 83,781.78/326.10
  6. Step 6: Final answer
    x = 256.92

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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.