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Finding the Fourth Proportional to 119.70, 179.65 and 54.80

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Solution

The fourth proportional to 119.70, 179.65 and 54.80 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 179.65 = 54.80 : x
  2. Step 2: Convert to fraction form
    119.70/179.65 = 54.80/x
  3. Step 3: Cross multiply
    119.70x = 179.65 × 54.80
  4. Step 4: Simplify right side
    119.70x = 9,844.82
  5. Step 5: Solve for x
    x = 9,844.82/119.70
  6. Step 6: Final answer
    x = 82.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.