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Finding the Fourth Proportional to 126.36, 174.44 and 114.66

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Solution

The fourth proportional to 126.36, 174.44 and 114.66 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 174.44 = 114.66 : x
  2. Step 2: Convert to fraction form
    126.36/174.44 = 114.66/x
  3. Step 3: Cross multiply
    126.36x = 174.44 × 114.66
  4. Step 4: Simplify right side
    126.36x = 20,001.29
  5. Step 5: Solve for x
    x = 20,001.29/126.36
  6. Step 6: Final answer
    x = 158.29

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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.