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Finding the Fourth Proportional to 224.90, 333.56 and 221.66

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Solution

The fourth proportional to 224.90, 333.56 and 221.66 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.90 : 333.56 = 221.66 : x
  2. Step 2: Convert to fraction form
    224.90/333.56 = 221.66/x
  3. Step 3: Cross multiply
    224.90x = 333.56 × 221.66
  4. Step 4: Simplify right side
    224.90x = 73,936.91
  5. Step 5: Solve for x
    x = 73,936.91/224.90
  6. Step 6: Final answer
    x = 328.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.