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Finding the Fourth Proportional to 126.22, 188.39 and 106.00

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Solution

The fourth proportional to 126.22, 188.39 and 106.00 is: 158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.22 : 188.39 = 106.00 : x
  2. Step 2: Convert to fraction form
    126.22/188.39 = 106.00/x
  3. Step 3: Cross multiply
    126.22x = 188.39 × 106.00
  4. Step 4: Simplify right side
    126.22x = 19,967.87
  5. Step 5: Solve for x
    x = 19,967.87/126.22
  6. Step 6: Final answer
    x = 158.21

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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.