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Finding the Fourth Proportional to 225.97, 311.72 and 152.33

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Solution

The fourth proportional to 225.97, 311.72 and 152.33 is: 210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.97 : 311.72 = 152.33 : x
  2. Step 2: Convert to fraction form
    225.97/311.72 = 152.33/x
  3. Step 3: Cross multiply
    225.97x = 311.72 × 152.33
  4. Step 4: Simplify right side
    225.97x = 47,481.99
  5. Step 5: Solve for x
    x = 47,481.99/225.97
  6. Step 6: Final answer
    x = 210.13

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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.