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Finding the Fourth Proportional to 137.88, 205.92 and 110.70

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Solution

The fourth proportional to 137.88, 205.92 and 110.70 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 205.92 = 110.70 : x
  2. Step 2: Convert to fraction form
    137.88/205.92 = 110.70/x
  3. Step 3: Cross multiply
    137.88x = 205.92 × 110.70
  4. Step 4: Simplify right side
    137.88x = 22,795.34
  5. Step 5: Solve for x
    x = 22,795.34/137.88
  6. Step 6: Final answer
    x = 165.33

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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.