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Finding the Fourth Proportional to 137.17, 188.75 and 126.84

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Solution

The fourth proportional to 137.17, 188.75 and 126.84 is: 174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.17 : 188.75 = 126.84 : x
  2. Step 2: Convert to fraction form
    137.17/188.75 = 126.84/x
  3. Step 3: Cross multiply
    137.17x = 188.75 × 126.84
  4. Step 4: Simplify right side
    137.17x = 23,941.05
  5. Step 5: Solve for x
    x = 23,941.05/137.17
  6. Step 6: Final answer
    x = 174.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.