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Finding the Fourth Proportional to 225.48, 312.41 and 221.98

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Solution

The fourth proportional to 225.48, 312.41 and 221.98 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.48 : 312.41 = 221.98 : x
  2. Step 2: Convert to fraction form
    225.48/312.41 = 221.98/x
  3. Step 3: Cross multiply
    225.48x = 312.41 × 221.98
  4. Step 4: Simplify right side
    225.48x = 69,348.77
  5. Step 5: Solve for x
    x = 69,348.77/225.48
  6. Step 6: Final answer
    x = 307.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.