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Finding the Fourth Proportional to 121.35, 181.89 and 97.25

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Solution

The fourth proportional to 121.35, 181.89 and 97.25 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.35 : 181.89 = 97.25 : x
  2. Step 2: Convert to fraction form
    121.35/181.89 = 97.25/x
  3. Step 3: Cross multiply
    121.35x = 181.89 × 97.25
  4. Step 4: Simplify right side
    121.35x = 17,689.26
  5. Step 5: Solve for x
    x = 17,689.26/121.35
  6. Step 6: Final answer
    x = 145.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.