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Finding the Fourth Proportional to 325.28, 449.52 and 289.28

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Solution

The fourth proportional to 325.28, 449.52 and 289.28 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.28 : 449.52 = 289.28 : x
  2. Step 2: Convert to fraction form
    325.28/449.52 = 289.28/x
  3. Step 3: Cross multiply
    325.28x = 449.52 × 289.28
  4. Step 4: Simplify right side
    325.28x = 130,037.15
  5. Step 5: Solve for x
    x = 130,037.15/325.28
  6. Step 6: Final answer
    x = 399.77

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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.