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Finding the Fourth Proportional to 137.12, 203.94 and 134.24

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Solution

The fourth proportional to 137.12, 203.94 and 134.24 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 203.94 = 134.24 : x
  2. Step 2: Convert to fraction form
    137.12/203.94 = 134.24/x
  3. Step 3: Cross multiply
    137.12x = 203.94 × 134.24
  4. Step 4: Simplify right side
    137.12x = 27,376.91
  5. Step 5: Solve for x
    x = 27,376.91/137.12
  6. Step 6: Final answer
    x = 199.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.