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Finding the Fourth Proportional to 137.66, 189.72 and 108.50

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Solution

The fourth proportional to 137.66, 189.72 and 108.50 is: 149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.72 = 108.50 : x
  2. Step 2: Convert to fraction form
    137.66/189.72 = 108.50/x
  3. Step 3: Cross multiply
    137.66x = 189.72 × 108.50
  4. Step 4: Simplify right side
    137.66x = 20,583.67
  5. Step 5: Solve for x
    x = 20,583.67/137.66
  6. Step 6: Final answer
    x = 149.53

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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.