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Finding the Fourth Proportional to 223.21, 336.67 and 221.86

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Solution

The fourth proportional to 223.21, 336.67 and 221.86 is: 334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.21 : 336.67 = 221.86 : x
  2. Step 2: Convert to fraction form
    223.21/336.67 = 221.86/x
  3. Step 3: Cross multiply
    223.21x = 336.67 × 221.86
  4. Step 4: Simplify right side
    223.21x = 74,693.61
  5. Step 5: Solve for x
    x = 74,693.61/223.21
  6. Step 6: Final answer
    x = 334.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.