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Finding the Fourth Proportional to 119.72, 180.50 and 118.17

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Solution

The fourth proportional to 119.72, 180.50 and 118.17 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 180.50 = 118.17 : x
  2. Step 2: Convert to fraction form
    119.72/180.50 = 118.17/x
  3. Step 3: Cross multiply
    119.72x = 180.50 × 118.17
  4. Step 4: Simplify right side
    119.72x = 21,329.09
  5. Step 5: Solve for x
    x = 21,329.09/119.72
  6. Step 6: Final answer
    x = 178.15

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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.