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Finding the Fourth Proportional to 325.71, 488.75 and 171.63

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Solution

The fourth proportional to 325.71, 488.75 and 171.63 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.71 : 488.75 = 171.63 : x
  2. Step 2: Convert to fraction form
    325.71/488.75 = 171.63/x
  3. Step 3: Cross multiply
    325.71x = 488.75 × 171.63
  4. Step 4: Simplify right side
    325.71x = 83,883.30
  5. Step 5: Solve for x
    x = 83,883.30/325.71
  6. Step 6: Final answer
    x = 257.54

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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.