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Finding the Fourth Proportional to 195.07, 292.12 and 113.66

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Solution

The fourth proportional to 195.07, 292.12 and 113.66 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.07 : 292.12 = 113.66 : x
  2. Step 2: Convert to fraction form
    195.07/292.12 = 113.66/x
  3. Step 3: Cross multiply
    195.07x = 292.12 × 113.66
  4. Step 4: Simplify right side
    195.07x = 33,202.08
  5. Step 5: Solve for x
    x = 33,202.08/195.07
  6. Step 6: Final answer
    x = 170.21

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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.