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Finding the Fourth Proportional to 223.74, 337.01 and 204.30

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Solution

The fourth proportional to 223.74, 337.01 and 204.30 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 337.01 = 204.30 : x
  2. Step 2: Convert to fraction form
    223.74/337.01 = 204.30/x
  3. Step 3: Cross multiply
    223.74x = 337.01 × 204.30
  4. Step 4: Simplify right side
    223.74x = 68,850.12
  5. Step 5: Solve for x
    x = 68,850.12/223.74
  6. Step 6: Final answer
    x = 307.72

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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.