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Finding the Fourth Proportional to 326.81, 450.98 and 186.90

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Solution

The fourth proportional to 326.81, 450.98 and 186.90 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.81 : 450.98 = 186.90 : x
  2. Step 2: Convert to fraction form
    326.81/450.98 = 186.90/x
  3. Step 3: Cross multiply
    326.81x = 450.98 × 186.90
  4. Step 4: Simplify right side
    326.81x = 84,287.23
  5. Step 5: Solve for x
    x = 84,287.23/326.81
  6. Step 6: Final answer
    x = 257.91

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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.