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Finding the Fourth Proportional to 331.77, 494.73 and 286.41

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Solution

The fourth proportional to 331.77, 494.73 and 286.41 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.77 : 494.73 = 286.41 : x
  2. Step 2: Convert to fraction form
    331.77/494.73 = 286.41/x
  3. Step 3: Cross multiply
    331.77x = 494.73 × 286.41
  4. Step 4: Simplify right side
    331.77x = 141,695.62
  5. Step 5: Solve for x
    x = 141,695.62/331.77
  6. Step 6: Final answer
    x = 427.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.