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Finding the Fourth Proportional to 223.26, 309.51 and 211.55

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Solution

The fourth proportional to 223.26, 309.51 and 211.55 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 309.51 = 211.55 : x
  2. Step 2: Convert to fraction form
    223.26/309.51 = 211.55/x
  3. Step 3: Cross multiply
    223.26x = 309.51 × 211.55
  4. Step 4: Simplify right side
    223.26x = 65,476.84
  5. Step 5: Solve for x
    x = 65,476.84/223.26
  6. Step 6: Final answer
    x = 293.28

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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.