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Finding the Fourth Proportional to 325.05, 486.76 and 252.96

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Solution

The fourth proportional to 325.05, 486.76 and 252.96 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.05 : 486.76 = 252.96 : x
  2. Step 2: Convert to fraction form
    325.05/486.76 = 252.96/x
  3. Step 3: Cross multiply
    325.05x = 486.76 × 252.96
  4. Step 4: Simplify right side
    325.05x = 123,130.81
  5. Step 5: Solve for x
    x = 123,130.81/325.05
  6. Step 6: Final answer
    x = 378.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.