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Finding the Fourth Proportional to 109.97, 150.78 and 108.02

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Solution

The fourth proportional to 109.97, 150.78 and 108.02 is: 148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 150.78 = 108.02 : x
  2. Step 2: Convert to fraction form
    109.97/150.78 = 108.02/x
  3. Step 3: Cross multiply
    109.97x = 150.78 × 108.02
  4. Step 4: Simplify right side
    109.97x = 16,287.26
  5. Step 5: Solve for x
    x = 16,287.26/109.97
  6. Step 6: Final answer
    x = 148.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.