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Finding the Fourth Proportional to 325.02, 449.76 and 281.28

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Solution

The fourth proportional to 325.02, 449.76 and 281.28 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.02 : 449.76 = 281.28 : x
  2. Step 2: Convert to fraction form
    325.02/449.76 = 281.28/x
  3. Step 3: Cross multiply
    325.02x = 449.76 × 281.28
  4. Step 4: Simplify right side
    325.02x = 126,508.49
  5. Step 5: Solve for x
    x = 126,508.49/325.02
  6. Step 6: Final answer
    x = 389.23

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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.