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Finding the Fourth Proportional to 133.69, 200.22 and 65.11

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Solution

The fourth proportional to 133.69, 200.22 and 65.11 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 200.22 = 65.11 : x
  2. Step 2: Convert to fraction form
    133.69/200.22 = 65.11/x
  3. Step 3: Cross multiply
    133.69x = 200.22 × 65.11
  4. Step 4: Simplify right side
    133.69x = 13,036.32
  5. Step 5: Solve for x
    x = 13,036.32/133.69
  6. Step 6: Final answer
    x = 97.51

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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.