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Finding the Fourth Proportional to 122.02, 181.75 and 121.79

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Solution

The fourth proportional to 122.02, 181.75 and 121.79 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 181.75 = 121.79 : x
  2. Step 2: Convert to fraction form
    122.02/181.75 = 121.79/x
  3. Step 3: Cross multiply
    122.02x = 181.75 × 121.79
  4. Step 4: Simplify right side
    122.02x = 22,135.33
  5. Step 5: Solve for x
    x = 22,135.33/122.02
  6. Step 6: Final answer
    x = 181.41

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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.