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Finding the Fourth Proportional to 223.88, 310.39 and 211.58

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Solution

The fourth proportional to 223.88, 310.39 and 211.58 is: 293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 310.39 = 211.58 : x
  2. Step 2: Convert to fraction form
    223.88/310.39 = 211.58/x
  3. Step 3: Cross multiply
    223.88x = 310.39 × 211.58
  4. Step 4: Simplify right side
    223.88x = 65,671.26
  5. Step 5: Solve for x
    x = 65,671.26/223.88
  6. Step 6: Final answer
    x = 293.33

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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.