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Finding the Fourth Proportional to 331.64, 495.13 and 285.80

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Solution

The fourth proportional to 331.64, 495.13 and 285.80 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.64 : 495.13 = 285.80 : x
  2. Step 2: Convert to fraction form
    331.64/495.13 = 285.80/x
  3. Step 3: Cross multiply
    331.64x = 495.13 × 285.80
  4. Step 4: Simplify right side
    331.64x = 141,508.15
  5. Step 5: Solve for x
    x = 141,508.15/331.64
  6. Step 6: Final answer
    x = 426.69

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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.