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Finding the Fourth Proportional to 335.71, 463.17 and 219.25

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Solution

The fourth proportional to 335.71, 463.17 and 219.25 is: 302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.71 : 463.17 = 219.25 : x
  2. Step 2: Convert to fraction form
    335.71/463.17 = 219.25/x
  3. Step 3: Cross multiply
    335.71x = 463.17 × 219.25
  4. Step 4: Simplify right side
    335.71x = 101,550.02
  5. Step 5: Solve for x
    x = 101,550.02/335.71
  6. Step 6: Final answer
    x = 302.49

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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.