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Finding the Fourth Proportional to 137.20, 189.20 and 134.24

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Solution

The fourth proportional to 137.20, 189.20 and 134.24 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.20 : 189.20 = 134.24 : x
  2. Step 2: Convert to fraction form
    137.20/189.20 = 134.24/x
  3. Step 3: Cross multiply
    137.20x = 189.20 × 134.24
  4. Step 4: Simplify right side
    137.20x = 25,398.21
  5. Step 5: Solve for x
    x = 25,398.21/137.20
  6. Step 6: Final answer
    x = 185.12

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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.