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Finding the Fourth Proportional to 133.35, 184.04 and 78.09

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Solution

The fourth proportional to 133.35, 184.04 and 78.09 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.35 : 184.04 = 78.09 : x
  2. Step 2: Convert to fraction form
    133.35/184.04 = 78.09/x
  3. Step 3: Cross multiply
    133.35x = 184.04 × 78.09
  4. Step 4: Simplify right side
    133.35x = 14,371.29
  5. Step 5: Solve for x
    x = 14,371.29/133.35
  6. Step 6: Final answer
    x = 107.78

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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.