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Finding the Fourth Proportional to 223.67, 337.18 and 208.80

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Solution

The fourth proportional to 223.67, 337.18 and 208.80 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.67 : 337.18 = 208.80 : x
  2. Step 2: Convert to fraction form
    223.67/337.18 = 208.80/x
  3. Step 3: Cross multiply
    223.67x = 337.18 × 208.80
  4. Step 4: Simplify right side
    223.67x = 70,404.71
  5. Step 5: Solve for x
    x = 70,404.71/223.67
  6. Step 6: Final answer
    x = 314.77

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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.