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Finding the Fourth Proportional to 418.13, 576.81 and 335.34

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Solution

The fourth proportional to 418.13, 576.81 and 335.34 is: 462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 576.81 = 335.34 : x
  2. Step 2: Convert to fraction form
    418.13/576.81 = 335.34/x
  3. Step 3: Cross multiply
    418.13x = 576.81 × 335.34
  4. Step 4: Simplify right side
    418.13x = 193,427.47
  5. Step 5: Solve for x
    x = 193,427.47/418.13
  6. Step 6: Final answer
    x = 462.61

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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.