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Finding the Fourth Proportional to 120.40, 179.52 and 119.34

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Solution

The fourth proportional to 120.40, 179.52 and 119.34 is: 177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.40 : 179.52 = 119.34 : x
  2. Step 2: Convert to fraction form
    120.40/179.52 = 119.34/x
  3. Step 3: Cross multiply
    120.40x = 179.52 × 119.34
  4. Step 4: Simplify right side
    120.40x = 21,423.02
  5. Step 5: Solve for x
    x = 21,423.02/120.40
  6. Step 6: Final answer
    x = 177.93

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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.