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Finding the Fourth Proportional to 150.97, 208.25 and 92.75

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Solution

The fourth proportional to 150.97, 208.25 and 92.75 is: 127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.97 : 208.25 = 92.75 : x
  2. Step 2: Convert to fraction form
    150.97/208.25 = 92.75/x
  3. Step 3: Cross multiply
    150.97x = 208.25 × 92.75
  4. Step 4: Simplify right side
    150.97x = 19,315.19
  5. Step 5: Solve for x
    x = 19,315.19/150.97
  6. Step 6: Final answer
    x = 127.94

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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.