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Finding the Fourth Proportional to 195.22, 292.52 and 154.12

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Solution

The fourth proportional to 195.22, 292.52 and 154.12 is: 230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.22 : 292.52 = 154.12 : x
  2. Step 2: Convert to fraction form
    195.22/292.52 = 154.12/x
  3. Step 3: Cross multiply
    195.22x = 292.52 × 154.12
  4. Step 4: Simplify right side
    195.22x = 45,083.18
  5. Step 5: Solve for x
    x = 45,083.18/195.22
  6. Step 6: Final answer
    x = 230.94

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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.