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Finding the Fourth Proportional to 126.05, 189.99 and 118.22

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Solution

The fourth proportional to 126.05, 189.99 and 118.22 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.05 : 189.99 = 118.22 : x
  2. Step 2: Convert to fraction form
    126.05/189.99 = 118.22/x
  3. Step 3: Cross multiply
    126.05x = 189.99 × 118.22
  4. Step 4: Simplify right side
    126.05x = 22,459.67
  5. Step 5: Solve for x
    x = 22,459.67/126.05
  6. Step 6: Final answer
    x = 178.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.