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Finding the Fourth Proportional to 137.44, 207.32 and 133.12

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Solution

The fourth proportional to 137.44, 207.32 and 133.12 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 207.32 = 133.12 : x
  2. Step 2: Convert to fraction form
    137.44/207.32 = 133.12/x
  3. Step 3: Cross multiply
    137.44x = 207.32 × 133.12
  4. Step 4: Simplify right side
    137.44x = 27,598.44
  5. Step 5: Solve for x
    x = 27,598.44/137.44
  6. Step 6: Final answer
    x = 200.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.