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Finding the Fourth Proportional to 223.74, 336.94 and 203.26

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Solution

The fourth proportional to 223.74, 336.94 and 203.26 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 336.94 = 203.26 : x
  2. Step 2: Convert to fraction form
    223.74/336.94 = 203.26/x
  3. Step 3: Cross multiply
    223.74x = 336.94 × 203.26
  4. Step 4: Simplify right side
    223.74x = 68,486.42
  5. Step 5: Solve for x
    x = 68,486.42/223.74
  6. Step 6: Final answer
    x = 306.10

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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.