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Finding the Fourth Proportional to 180.39, 270.16 and 103.40

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Solution

The fourth proportional to 180.39, 270.16 and 103.40 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 270.16 = 103.40 : x
  2. Step 2: Convert to fraction form
    180.39/270.16 = 103.40/x
  3. Step 3: Cross multiply
    180.39x = 270.16 × 103.40
  4. Step 4: Simplify right side
    180.39x = 27,932.93
  5. Step 5: Solve for x
    x = 27,932.93/180.39
  6. Step 6: Final answer
    x = 154.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.