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Finding the Fourth Proportional to 225.69, 312.10 and 221.59

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Solution

The fourth proportional to 225.69, 312.10 and 221.59 is: 306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.69 : 312.10 = 221.59 : x
  2. Step 2: Convert to fraction form
    225.69/312.10 = 221.59/x
  3. Step 3: Cross multiply
    225.69x = 312.10 × 221.59
  4. Step 4: Simplify right side
    225.69x = 69,157.57
  5. Step 5: Solve for x
    x = 69,157.57/225.69
  6. Step 6: Final answer
    x = 306.43

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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.