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Finding the Fourth Proportional to 108.74, 150.09 and 77.75

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Solution

The fourth proportional to 108.74, 150.09 and 77.75 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.74 : 150.09 = 77.75 : x
  2. Step 2: Convert to fraction form
    108.74/150.09 = 77.75/x
  3. Step 3: Cross multiply
    108.74x = 150.09 × 77.75
  4. Step 4: Simplify right side
    108.74x = 11,668.75
  5. Step 5: Solve for x
    x = 11,668.75/108.74
  6. Step 6: Final answer
    x = 107.31

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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.