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Finding the Fourth Proportional to 335.89, 463.71 and 217.99

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Solution

The fourth proportional to 335.89, 463.71 and 217.99 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.89 : 463.71 = 217.99 : x
  2. Step 2: Convert to fraction form
    335.89/463.71 = 217.99/x
  3. Step 3: Cross multiply
    335.89x = 463.71 × 217.99
  4. Step 4: Simplify right side
    335.89x = 101,084.14
  5. Step 5: Solve for x
    x = 101,084.14/335.89
  6. Step 6: Final answer
    x = 300.94

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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.