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Finding the Fourth Proportional to 223.25, 307.98 and 149.49

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Solution

The fourth proportional to 223.25, 307.98 and 149.49 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 307.98 = 149.49 : x
  2. Step 2: Convert to fraction form
    223.25/307.98 = 149.49/x
  3. Step 3: Cross multiply
    223.25x = 307.98 × 149.49
  4. Step 4: Simplify right side
    223.25x = 46,039.93
  5. Step 5: Solve for x
    x = 46,039.93/223.25
  6. Step 6: Final answer
    x = 206.23

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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.