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Finding the Fourth Proportional to 326.64, 487.59 and 281.28

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Solution

The fourth proportional to 326.64, 487.59 and 281.28 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.64 : 487.59 = 281.28 : x
  2. Step 2: Convert to fraction form
    326.64/487.59 = 281.28/x
  3. Step 3: Cross multiply
    326.64x = 487.59 × 281.28
  4. Step 4: Simplify right side
    326.64x = 137,149.32
  5. Step 5: Solve for x
    x = 137,149.32/326.64
  6. Step 6: Final answer
    x = 419.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.