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Finding the Fourth Proportional to 119.49, 178.38 and 109.23

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Solution

The fourth proportional to 119.49, 178.38 and 109.23 is: 163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.49 : 178.38 = 109.23 : x
  2. Step 2: Convert to fraction form
    119.49/178.38 = 109.23/x
  3. Step 3: Cross multiply
    119.49x = 178.38 × 109.23
  4. Step 4: Simplify right side
    119.49x = 19,484.45
  5. Step 5: Solve for x
    x = 19,484.45/119.49
  6. Step 6: Final answer
    x = 163.06

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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.