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Finding the Fourth Proportional to 119.73, 180.50 and 118.70

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Solution

The fourth proportional to 119.73, 180.50 and 118.70 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.73 : 180.50 = 118.70 : x
  2. Step 2: Convert to fraction form
    119.73/180.50 = 118.70/x
  3. Step 3: Cross multiply
    119.73x = 180.50 × 118.70
  4. Step 4: Simplify right side
    119.73x = 21,424.74
  5. Step 5: Solve for x
    x = 21,424.74/119.73
  6. Step 6: Final answer
    x = 178.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.