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Finding the Fourth Proportional to 120.51, 179.38 and 118.77

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Solution

The fourth proportional to 120.51, 179.38 and 118.77 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.51 : 179.38 = 118.77 : x
  2. Step 2: Convert to fraction form
    120.51/179.38 = 118.77/x
  3. Step 3: Cross multiply
    120.51x = 179.38 × 118.77
  4. Step 4: Simplify right side
    120.51x = 21,304.96
  5. Step 5: Solve for x
    x = 21,304.96/120.51
  6. Step 6: Final answer
    x = 176.79

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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.