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Finding the Fourth Proportional to 137.27, 189.45 and 100.55

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Solution

The fourth proportional to 137.27, 189.45 and 100.55 is: 138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 189.45 = 100.55 : x
  2. Step 2: Convert to fraction form
    137.27/189.45 = 100.55/x
  3. Step 3: Cross multiply
    137.27x = 189.45 × 100.55
  4. Step 4: Simplify right side
    137.27x = 19,049.20
  5. Step 5: Solve for x
    x = 19,049.20/137.27
  6. Step 6: Final answer
    x = 138.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.