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Finding the Fourth Proportional to 335.79, 463.12 and 217.76

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Solution

The fourth proportional to 335.79, 463.12 and 217.76 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.79 : 463.12 = 217.76 : x
  2. Step 2: Convert to fraction form
    335.79/463.12 = 217.76/x
  3. Step 3: Cross multiply
    335.79x = 463.12 × 217.76
  4. Step 4: Simplify right side
    335.79x = 100,846.15
  5. Step 5: Solve for x
    x = 100,846.15/335.79
  6. Step 6: Final answer
    x = 300.33

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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.