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Finding the Fourth Proportional to 137.12, 188.06 and 133.16

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Solution

The fourth proportional to 137.12, 188.06 and 133.16 is: 182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 188.06 = 133.16 : x
  2. Step 2: Convert to fraction form
    137.12/188.06 = 133.16/x
  3. Step 3: Cross multiply
    137.12x = 188.06 × 133.16
  4. Step 4: Simplify right side
    137.12x = 25,040.46
  5. Step 5: Solve for x
    x = 25,040.46/137.12
  6. Step 6: Final answer
    x = 182.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.