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Finding the Fourth Proportional to 325.11, 487.82 and 162.91

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Solution

The fourth proportional to 325.11, 487.82 and 162.91 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 487.82 = 162.91 : x
  2. Step 2: Convert to fraction form
    325.11/487.82 = 162.91/x
  3. Step 3: Cross multiply
    325.11x = 487.82 × 162.91
  4. Step 4: Simplify right side
    325.11x = 79,471.77
  5. Step 5: Solve for x
    x = 79,471.77/325.11
  6. Step 6: Final answer
    x = 244.44

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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.