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Finding the Fourth Proportional to 207.25, 310.80 and 149.29

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Solution

The fourth proportional to 207.25, 310.80 and 149.29 is: 223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 310.80 = 149.29 : x
  2. Step 2: Convert to fraction form
    207.25/310.80 = 149.29/x
  3. Step 3: Cross multiply
    207.25x = 310.80 × 149.29
  4. Step 4: Simplify right side
    207.25x = 46,399.33
  5. Step 5: Solve for x
    x = 46,399.33/207.25
  6. Step 6: Final answer
    x = 223.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.