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Finding the Fourth Proportional to 335.97, 463.40 and 243.03

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Solution

The fourth proportional to 335.97, 463.40 and 243.03 is: 335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.97 : 463.40 = 243.03 : x
  2. Step 2: Convert to fraction form
    335.97/463.40 = 243.03/x
  3. Step 3: Cross multiply
    335.97x = 463.40 × 243.03
  4. Step 4: Simplify right side
    335.97x = 112,620.10
  5. Step 5: Solve for x
    x = 112,620.10/335.97
  6. Step 6: Final answer
    x = 335.21

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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.