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Finding the Fourth Proportional to 150.25, 207.34 and 84.75

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Solution

The fourth proportional to 150.25, 207.34 and 84.75 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.25 : 207.34 = 84.75 : x
  2. Step 2: Convert to fraction form
    150.25/207.34 = 84.75/x
  3. Step 3: Cross multiply
    150.25x = 207.34 × 84.75
  4. Step 4: Simplify right side
    150.25x = 17,571.85
  5. Step 5: Solve for x
    x = 17,571.85/150.25
  6. Step 6: Final answer
    x = 116.95

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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.