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Finding the Fourth Proportional to 223.53, 334.98 and 208.74

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Solution

The fourth proportional to 223.53, 334.98 and 208.74 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.53 : 334.98 = 208.74 : x
  2. Step 2: Convert to fraction form
    223.53/334.98 = 208.74/x
  3. Step 3: Cross multiply
    223.53x = 334.98 × 208.74
  4. Step 4: Simplify right side
    223.53x = 69,923.73
  5. Step 5: Solve for x
    x = 69,923.73/223.53
  6. Step 6: Final answer
    x = 312.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.