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Finding the Fourth Proportional to 121.84, 181.46 and 120.42

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Solution

The fourth proportional to 121.84, 181.46 and 120.42 is: 179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.84 : 181.46 = 120.42 : x
  2. Step 2: Convert to fraction form
    121.84/181.46 = 120.42/x
  3. Step 3: Cross multiply
    121.84x = 181.46 × 120.42
  4. Step 4: Simplify right side
    121.84x = 21,851.04
  5. Step 5: Solve for x
    x = 21,851.04/121.84
  6. Step 6: Final answer
    x = 179.35

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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.