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Finding the Fourth Proportional to 225.94, 312.45 and 221.84

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Solution

The fourth proportional to 225.94, 312.45 and 221.84 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 312.45 = 221.84 : x
  2. Step 2: Convert to fraction form
    225.94/312.45 = 221.84/x
  3. Step 3: Cross multiply
    225.94x = 312.45 × 221.84
  4. Step 4: Simplify right side
    225.94x = 69,312.35
  5. Step 5: Solve for x
    x = 69,312.35/225.94
  6. Step 6: Final answer
    x = 306.78

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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.