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Finding the Fourth Proportional to 333.92, 460.76 and 201.11

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Solution

The fourth proportional to 333.92, 460.76 and 201.11 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 460.76 = 201.11 : x
  2. Step 2: Convert to fraction form
    333.92/460.76 = 201.11/x
  3. Step 3: Cross multiply
    333.92x = 460.76 × 201.11
  4. Step 4: Simplify right side
    333.92x = 92,660.13
  5. Step 5: Solve for x
    x = 92,660.13/333.92
  6. Step 6: Final answer
    x = 277.50

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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.