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Finding the Fourth Proportional to 127.42, 190.09 and 126.50

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Solution

The fourth proportional to 127.42, 190.09 and 126.50 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 190.09 = 126.50 : x
  2. Step 2: Convert to fraction form
    127.42/190.09 = 126.50/x
  3. Step 3: Cross multiply
    127.42x = 190.09 × 126.50
  4. Step 4: Simplify right side
    127.42x = 24,046.54
  5. Step 5: Solve for x
    x = 24,046.54/127.42
  6. Step 6: Final answer
    x = 188.72

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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.