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Finding the Fourth Proportional to 78.69, 118.07 and 33.10

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Solution

The fourth proportional to 78.69, 118.07 and 33.10 is: 49.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.69 : 118.07 = 33.10 : x
  2. Step 2: Convert to fraction form
    78.69/118.07 = 33.10/x
  3. Step 3: Cross multiply
    78.69x = 118.07 × 33.10
  4. Step 4: Simplify right side
    78.69x = 3,908.12
  5. Step 5: Solve for x
    x = 3,908.12/78.69
  6. Step 6: Final answer
    x = 49.66

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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.