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Finding the Fourth Proportional to 142.36, 196.05 and 111.22

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Solution

The fourth proportional to 142.36, 196.05 and 111.22 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 196.05 = 111.22 : x
  2. Step 2: Convert to fraction form
    142.36/196.05 = 111.22/x
  3. Step 3: Cross multiply
    142.36x = 196.05 × 111.22
  4. Step 4: Simplify right side
    142.36x = 21,804.68
  5. Step 5: Solve for x
    x = 21,804.68/142.36
  6. Step 6: Final answer
    x = 153.17

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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.