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Finding the Fourth Proportional to 121.67, 181.31 and 121.06

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Solution

The fourth proportional to 121.67, 181.31 and 121.06 is: 180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.67 : 181.31 = 121.06 : x
  2. Step 2: Convert to fraction form
    121.67/181.31 = 121.06/x
  3. Step 3: Cross multiply
    121.67x = 181.31 × 121.06
  4. Step 4: Simplify right side
    121.67x = 21,948.48
  5. Step 5: Solve for x
    x = 21,948.48/121.67
  6. Step 6: Final answer
    x = 180.40

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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.