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Finding the Fourth Proportional to 223.47, 336.41 and 201.14

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Solution

The fourth proportional to 223.47, 336.41 and 201.14 is: 302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.47 : 336.41 = 201.14 : x
  2. Step 2: Convert to fraction form
    223.47/336.41 = 201.14/x
  3. Step 3: Cross multiply
    223.47x = 336.41 × 201.14
  4. Step 4: Simplify right side
    223.47x = 67,662.82
  5. Step 5: Solve for x
    x = 67,662.82/223.47
  6. Step 6: Final answer
    x = 302.78

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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.