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Finding the Fourth Proportional to 138.66, 191.14 and 114.06

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Solution

The fourth proportional to 138.66, 191.14 and 114.06 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 191.14 = 114.06 : x
  2. Step 2: Convert to fraction form
    138.66/191.14 = 114.06/x
  3. Step 3: Cross multiply
    138.66x = 191.14 × 114.06
  4. Step 4: Simplify right side
    138.66x = 21,800.25
  5. Step 5: Solve for x
    x = 21,800.25/138.66
  6. Step 6: Final answer
    x = 157.22

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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.