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Finding the Fourth Proportional to 171.84, 255.60 and 163.20

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Solution

The fourth proportional to 171.84, 255.60 and 163.20 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 255.60 = 163.20 : x
  2. Step 2: Convert to fraction form
    171.84/255.60 = 163.20/x
  3. Step 3: Cross multiply
    171.84x = 255.60 × 163.20
  4. Step 4: Simplify right side
    171.84x = 41,713.92
  5. Step 5: Solve for x
    x = 41,713.92/171.84
  6. Step 6: Final answer
    x = 242.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.