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Finding the Fourth Proportional to 138.14, 208.03 and 120.32

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Solution

The fourth proportional to 138.14, 208.03 and 120.32 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 208.03 = 120.32 : x
  2. Step 2: Convert to fraction form
    138.14/208.03 = 120.32/x
  3. Step 3: Cross multiply
    138.14x = 208.03 × 120.32
  4. Step 4: Simplify right side
    138.14x = 25,030.17
  5. Step 5: Solve for x
    x = 25,030.17/138.14
  6. Step 6: Final answer
    x = 181.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.