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Finding the Fourth Proportional to 133.35, 200.04 and 51.09

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Solution

The fourth proportional to 133.35, 200.04 and 51.09 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.35 : 200.04 = 51.09 : x
  2. Step 2: Convert to fraction form
    133.35/200.04 = 51.09/x
  3. Step 3: Cross multiply
    133.35x = 200.04 × 51.09
  4. Step 4: Simplify right side
    133.35x = 10,220.04
  5. Step 5: Solve for x
    x = 10,220.04/133.35
  6. Step 6: Final answer
    x = 76.64

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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.