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Finding the Fourth Proportional to 223.53, 310.62 and 221.31

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Solution

The fourth proportional to 223.53, 310.62 and 221.31 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.53 : 310.62 = 221.31 : x
  2. Step 2: Convert to fraction form
    223.53/310.62 = 221.31/x
  3. Step 3: Cross multiply
    223.53x = 310.62 × 221.31
  4. Step 4: Simplify right side
    223.53x = 68,743.31
  5. Step 5: Solve for x
    x = 68,743.31/223.53
  6. Step 6: Final answer
    x = 307.54

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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.