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Finding the Fourth Proportional to 195.06, 270.26 and 191.40

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Solution

The fourth proportional to 195.06, 270.26 and 191.40 is: 265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 270.26 = 191.40 : x
  2. Step 2: Convert to fraction form
    195.06/270.26 = 191.40/x
  3. Step 3: Cross multiply
    195.06x = 270.26 × 191.40
  4. Step 4: Simplify right side
    195.06x = 51,726.81
  5. Step 5: Solve for x
    x = 51,726.81/195.06
  6. Step 6: Final answer
    x = 265.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.