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Finding the Fourth Proportional to 137.50, 205.49 and 110.32

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Solution

The fourth proportional to 137.50, 205.49 and 110.32 is: 164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 205.49 = 110.32 : x
  2. Step 2: Convert to fraction form
    137.50/205.49 = 110.32/x
  3. Step 3: Cross multiply
    137.50x = 205.49 × 110.32
  4. Step 4: Simplify right side
    137.50x = 22,669.66
  5. Step 5: Solve for x
    x = 22,669.66/137.50
  6. Step 6: Final answer
    x = 164.87

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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.