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Finding the Fourth Proportional to 325.76, 488.83 and 171.79

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Solution

The fourth proportional to 325.76, 488.83 and 171.79 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 488.83 = 171.79 : x
  2. Step 2: Convert to fraction form
    325.76/488.83 = 171.79/x
  3. Step 3: Cross multiply
    325.76x = 488.83 × 171.79
  4. Step 4: Simplify right side
    325.76x = 83,974.45
  5. Step 5: Solve for x
    x = 83,974.45/325.76
  6. Step 6: Final answer
    x = 257.78

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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.