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Finding the Fourth Proportional to 138, 189.84 and 132.04

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Solution

The fourth proportional to 138, 189.84 and 132.04 is: 181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 189.84 = 132.04 : x
  2. Step 2: Convert to fraction form
    138/189.84 = 132.04/x
  3. Step 3: Cross multiply
    138x = 189.84 × 132.04
  4. Step 4: Simplify right side
    138x = 25,066.47
  5. Step 5: Solve for x
    x = 25,066.47/138
  6. Step 6: Final answer
    x = 181.64

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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.