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Finding the Fourth Proportional to 224.82, 337.86 and 208.62

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Solution

The fourth proportional to 224.82, 337.86 and 208.62 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 337.86 = 208.62 : x
  2. Step 2: Convert to fraction form
    224.82/337.86 = 208.62/x
  3. Step 3: Cross multiply
    224.82x = 337.86 × 208.62
  4. Step 4: Simplify right side
    224.82x = 70,484.35
  5. Step 5: Solve for x
    x = 70,484.35/224.82
  6. Step 6: Final answer
    x = 313.51

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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.