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Finding the Fourth Proportional to 119.61, 180.41 and 118.43

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Solution

The fourth proportional to 119.61, 180.41 and 118.43 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 180.41 = 118.43 : x
  2. Step 2: Convert to fraction form
    119.61/180.41 = 118.43/x
  3. Step 3: Cross multiply
    119.61x = 180.41 × 118.43
  4. Step 4: Simplify right side
    119.61x = 21,364.46
  5. Step 5: Solve for x
    x = 21,364.46/119.61
  6. Step 6: Final answer
    x = 178.62

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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.