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Finding the Fourth Proportional to 331.79, 495.34 and 286.12

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Solution

The fourth proportional to 331.79, 495.34 and 286.12 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.79 : 495.34 = 286.12 : x
  2. Step 2: Convert to fraction form
    331.79/495.34 = 286.12/x
  3. Step 3: Cross multiply
    331.79x = 495.34 × 286.12
  4. Step 4: Simplify right side
    331.79x = 141,724.20
  5. Step 5: Solve for x
    x = 141,724.20/331.79
  6. Step 6: Final answer
    x = 427.15

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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.