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Finding the Fourth Proportional to 331.21, 495.84 and 258.85

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Solution

The fourth proportional to 331.21, 495.84 and 258.85 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.21 : 495.84 = 258.85 : x
  2. Step 2: Convert to fraction form
    331.21/495.84 = 258.85/x
  3. Step 3: Cross multiply
    331.21x = 495.84 × 258.85
  4. Step 4: Simplify right side
    331.21x = 128,348.18
  5. Step 5: Solve for x
    x = 128,348.18/331.21
  6. Step 6: Final answer
    x = 387.51

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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.