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Finding the Fourth Proportional to 325.45, 488.43 and 171.46

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Solution

The fourth proportional to 325.45, 488.43 and 171.46 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.45 : 488.43 = 171.46 : x
  2. Step 2: Convert to fraction form
    325.45/488.43 = 171.46/x
  3. Step 3: Cross multiply
    325.45x = 488.43 × 171.46
  4. Step 4: Simplify right side
    325.45x = 83,746.57
  5. Step 5: Solve for x
    x = 83,746.57/325.45
  6. Step 6: Final answer
    x = 257.33

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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.