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Finding the Fourth Proportional to 325.75, 449.67 and 232.51

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Solution

The fourth proportional to 325.75, 449.67 and 232.51 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.75 : 449.67 = 232.51 : x
  2. Step 2: Convert to fraction form
    325.75/449.67 = 232.51/x
  3. Step 3: Cross multiply
    325.75x = 449.67 × 232.51
  4. Step 4: Simplify right side
    325.75x = 104,552.77
  5. Step 5: Solve for x
    x = 104,552.77/325.75
  6. Step 6: Final answer
    x = 320.96

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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.