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Finding the Fourth Proportional to 149.75, 206.65 and 84.25

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Solution

The fourth proportional to 149.75, 206.65 and 84.25 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 206.65 = 84.25 : x
  2. Step 2: Convert to fraction form
    149.75/206.65 = 84.25/x
  3. Step 3: Cross multiply
    149.75x = 206.65 × 84.25
  4. Step 4: Simplify right side
    149.75x = 17,410.26
  5. Step 5: Solve for x
    x = 17,410.26/149.75
  6. Step 6: Final answer
    x = 116.26

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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.