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Finding the Fourth Proportional to 335.58, 462.97 and 217.54

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Solution

The fourth proportional to 335.58, 462.97 and 217.54 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 462.97 = 217.54 : x
  2. Step 2: Convert to fraction form
    335.58/462.97 = 217.54/x
  3. Step 3: Cross multiply
    335.58x = 462.97 × 217.54
  4. Step 4: Simplify right side
    335.58x = 100,714.49
  5. Step 5: Solve for x
    x = 100,714.49/335.58
  6. Step 6: Final answer
    x = 300.12

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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.