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Finding the Fourth Proportional to 126.35, 188.47 and 122.50

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Solution

The fourth proportional to 126.35, 188.47 and 122.50 is: 182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.35 : 188.47 = 122.50 : x
  2. Step 2: Convert to fraction form
    126.35/188.47 = 122.50/x
  3. Step 3: Cross multiply
    126.35x = 188.47 × 122.50
  4. Step 4: Simplify right side
    126.35x = 23,087.58
  5. Step 5: Solve for x
    x = 23,087.58/126.35
  6. Step 6: Final answer
    x = 182.73

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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.