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Finding the Fourth Proportional to 178.61, 268.01 and 109.22

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Solution

The fourth proportional to 178.61, 268.01 and 109.22 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 268.01 = 109.22 : x
  2. Step 2: Convert to fraction form
    178.61/268.01 = 109.22/x
  3. Step 3: Cross multiply
    178.61x = 268.01 × 109.22
  4. Step 4: Simplify right side
    178.61x = 29,270.58
  5. Step 5: Solve for x
    x = 29,270.58/178.61
  6. Step 6: Final answer
    x = 163.88

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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.