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Finding the Fourth Proportional to 138.66, 191.25 and 95.07

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Solution

The fourth proportional to 138.66, 191.25 and 95.07 is: 131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 191.25 = 95.07 : x
  2. Step 2: Convert to fraction form
    138.66/191.25 = 95.07/x
  3. Step 3: Cross multiply
    138.66x = 191.25 × 95.07
  4. Step 4: Simplify right side
    138.66x = 18,182.14
  5. Step 5: Solve for x
    x = 18,182.14/138.66
  6. Step 6: Final answer
    x = 131.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.