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Finding the Fourth Proportional to 330.05, 494.62 and 286.82

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Solution

The fourth proportional to 330.05, 494.62 and 286.82 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.05 : 494.62 = 286.82 : x
  2. Step 2: Convert to fraction form
    330.05/494.62 = 286.82/x
  3. Step 3: Cross multiply
    330.05x = 494.62 × 286.82
  4. Step 4: Simplify right side
    330.05x = 141,865.57
  5. Step 5: Solve for x
    x = 141,865.57/330.05
  6. Step 6: Final answer
    x = 429.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.