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Finding the Fourth Proportional to 225.23, 307.59 and 222.80

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Solution

The fourth proportional to 225.23, 307.59 and 222.80 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.23 : 307.59 = 222.80 : x
  2. Step 2: Convert to fraction form
    225.23/307.59 = 222.80/x
  3. Step 3: Cross multiply
    225.23x = 307.59 × 222.80
  4. Step 4: Simplify right side
    225.23x = 68,528.68
  5. Step 5: Solve for x
    x = 68,528.68/225.23
  6. Step 6: Final answer
    x = 304.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.