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Finding the Fourth Proportional to 223.53, 306.66 and 209.55

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Solution

The fourth proportional to 223.53, 306.66 and 209.55 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.53 : 306.66 = 209.55 : x
  2. Step 2: Convert to fraction form
    223.53/306.66 = 209.55/x
  3. Step 3: Cross multiply
    223.53x = 306.66 × 209.55
  4. Step 4: Simplify right side
    223.53x = 64,260.60
  5. Step 5: Solve for x
    x = 64,260.60/223.53
  6. Step 6: Final answer
    x = 287.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.