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Finding the Fourth Proportional to 119.71, 180.32 and 118.12

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Solution

The fourth proportional to 119.71, 180.32 and 118.12 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.71 : 180.32 = 118.12 : x
  2. Step 2: Convert to fraction form
    119.71/180.32 = 118.12/x
  3. Step 3: Cross multiply
    119.71x = 180.32 × 118.12
  4. Step 4: Simplify right side
    119.71x = 21,299.36
  5. Step 5: Solve for x
    x = 21,299.36/119.71
  6. Step 6: Final answer
    x = 177.92

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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.