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Finding the Fourth Proportional to 151.83, 225.97 and 149.00

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Solution

The fourth proportional to 151.83, 225.97 and 149.00 is: 221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 225.97 = 149.00 : x
  2. Step 2: Convert to fraction form
    151.83/225.97 = 149.00/x
  3. Step 3: Cross multiply
    151.83x = 225.97 × 149.00
  4. Step 4: Simplify right side
    151.83x = 33,668.03
  5. Step 5: Solve for x
    x = 33,668.03/151.83
  6. Step 6: Final answer
    x = 221.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.