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Finding the Fourth Proportional to 335.82, 463.46 and 204.81

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Solution

The fourth proportional to 335.82, 463.46 and 204.81 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 463.46 = 204.81 : x
  2. Step 2: Convert to fraction form
    335.82/463.46 = 204.81/x
  3. Step 3: Cross multiply
    335.82x = 463.46 × 204.81
  4. Step 4: Simplify right side
    335.82x = 94,920.22
  5. Step 5: Solve for x
    x = 94,920.22/335.82
  6. Step 6: Final answer
    x = 282.65

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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.