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Finding the Fourth Proportional to 119.70, 178.59 and 108.18

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Solution

The fourth proportional to 119.70, 178.59 and 108.18 is: 161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 178.59 = 108.18 : x
  2. Step 2: Convert to fraction form
    119.70/178.59 = 108.18/x
  3. Step 3: Cross multiply
    119.70x = 178.59 × 108.18
  4. Step 4: Simplify right side
    119.70x = 19,319.87
  5. Step 5: Solve for x
    x = 19,319.87/119.70
  6. Step 6: Final answer
    x = 161.40

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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.