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Finding the Fourth Proportional to 134.04, 200.72 and 111.08

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Solution

The fourth proportional to 134.04, 200.72 and 111.08 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.04 : 200.72 = 111.08 : x
  2. Step 2: Convert to fraction form
    134.04/200.72 = 111.08/x
  3. Step 3: Cross multiply
    134.04x = 200.72 × 111.08
  4. Step 4: Simplify right side
    134.04x = 22,295.98
  5. Step 5: Solve for x
    x = 22,295.98/134.04
  6. Step 6: Final answer
    x = 166.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.