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Finding the Fourth Proportional to 137.56, 204.91 and 131.32

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Solution

The fourth proportional to 137.56, 204.91 and 131.32 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 204.91 = 131.32 : x
  2. Step 2: Convert to fraction form
    137.56/204.91 = 131.32/x
  3. Step 3: Cross multiply
    137.56x = 204.91 × 131.32
  4. Step 4: Simplify right side
    137.56x = 26,908.12
  5. Step 5: Solve for x
    x = 26,908.12/137.56
  6. Step 6: Final answer
    x = 195.61

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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.