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Finding the Fourth Proportional to 326.16, 449.28 and 306.72

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Solution

The fourth proportional to 326.16, 449.28 and 306.72 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 449.28 = 306.72 : x
  2. Step 2: Convert to fraction form
    326.16/449.28 = 306.72/x
  3. Step 3: Cross multiply
    326.16x = 449.28 × 306.72
  4. Step 4: Simplify right side
    326.16x = 137,803.16
  5. Step 5: Solve for x
    x = 137,803.16/326.16
  6. Step 6: Final answer
    x = 422.50

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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.