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Finding the Fourth Proportional to 134.16, 200.24 and 111.07

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Solution

The fourth proportional to 134.16, 200.24 and 111.07 is: 165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 200.24 = 111.07 : x
  2. Step 2: Convert to fraction form
    134.16/200.24 = 111.07/x
  3. Step 3: Cross multiply
    134.16x = 200.24 × 111.07
  4. Step 4: Simplify right side
    134.16x = 22,240.66
  5. Step 5: Solve for x
    x = 22,240.66/134.16
  6. Step 6: Final answer
    x = 165.78

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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.