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Finding the Fourth Proportional to 138.11, 189.64 and 117.32

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Solution

The fourth proportional to 138.11, 189.64 and 117.32 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.11 : 189.64 = 117.32 : x
  2. Step 2: Convert to fraction form
    138.11/189.64 = 117.32/x
  3. Step 3: Cross multiply
    138.11x = 189.64 × 117.32
  4. Step 4: Simplify right side
    138.11x = 22,248.56
  5. Step 5: Solve for x
    x = 22,248.56/138.11
  6. Step 6: Final answer
    x = 161.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.