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Finding the Fourth Proportional to 326.06, 449.97 and 188.06

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Solution

The fourth proportional to 326.06, 449.97 and 188.06 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 449.97 = 188.06 : x
  2. Step 2: Convert to fraction form
    326.06/449.97 = 188.06/x
  3. Step 3: Cross multiply
    326.06x = 449.97 × 188.06
  4. Step 4: Simplify right side
    326.06x = 84,621.36
  5. Step 5: Solve for x
    x = 84,621.36/326.06
  6. Step 6: Final answer
    x = 259.53

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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.