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Finding the Fourth Proportional to 223.44, 307.40 and 211.92

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Solution

The fourth proportional to 223.44, 307.40 and 211.92 is: 291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 307.40 = 211.92 : x
  2. Step 2: Convert to fraction form
    223.44/307.40 = 211.92/x
  3. Step 3: Cross multiply
    223.44x = 307.40 × 211.92
  4. Step 4: Simplify right side
    223.44x = 65,144.21
  5. Step 5: Solve for x
    x = 65,144.21/223.44
  6. Step 6: Final answer
    x = 291.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.