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Finding the Fourth Proportional to 120.81, 179.69 and 118.52

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Solution

The fourth proportional to 120.81, 179.69 and 118.52 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.81 : 179.69 = 118.52 : x
  2. Step 2: Convert to fraction form
    120.81/179.69 = 118.52/x
  3. Step 3: Cross multiply
    120.81x = 179.69 × 118.52
  4. Step 4: Simplify right side
    120.81x = 21,295.37
  5. Step 5: Solve for x
    x = 21,295.37/120.81
  6. Step 6: Final answer
    x = 176.27

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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.