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Finding the Fourth Proportional to 223.54, 307.94 and 201.67

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Solution

The fourth proportional to 223.54, 307.94 and 201.67 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 307.94 = 201.67 : x
  2. Step 2: Convert to fraction form
    223.54/307.94 = 201.67/x
  3. Step 3: Cross multiply
    223.54x = 307.94 × 201.67
  4. Step 4: Simplify right side
    223.54x = 62,100.48
  5. Step 5: Solve for x
    x = 62,100.48/223.54
  6. Step 6: Final answer
    x = 277.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.