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Finding the Fourth Proportional to 121.14, 182.70 and 118.98

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Solution

The fourth proportional to 121.14, 182.70 and 118.98 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 182.70 = 118.98 : x
  2. Step 2: Convert to fraction form
    121.14/182.70 = 118.98/x
  3. Step 3: Cross multiply
    121.14x = 182.70 × 118.98
  4. Step 4: Simplify right side
    121.14x = 21,737.65
  5. Step 5: Solve for x
    x = 21,737.65/121.14
  6. Step 6: Final answer
    x = 179.44

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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.