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Finding the Fourth Proportional to 175.76, 262.09 and 163.22

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Solution

The fourth proportional to 175.76, 262.09 and 163.22 is: 243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.76 : 262.09 = 163.22 : x
  2. Step 2: Convert to fraction form
    175.76/262.09 = 163.22/x
  3. Step 3: Cross multiply
    175.76x = 262.09 × 163.22
  4. Step 4: Simplify right side
    175.76x = 42,776.61
  5. Step 5: Solve for x
    x = 42,776.61/175.76
  6. Step 6: Final answer
    x = 243.39

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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.