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Finding the Fourth Proportional to 331.97, 457.85 and 299.57

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Solution

The fourth proportional to 331.97, 457.85 and 299.57 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 457.85 = 299.57 : x
  2. Step 2: Convert to fraction form
    331.97/457.85 = 299.57/x
  3. Step 3: Cross multiply
    331.97x = 457.85 × 299.57
  4. Step 4: Simplify right side
    331.97x = 137,156.58
  5. Step 5: Solve for x
    x = 137,156.58/331.97
  6. Step 6: Final answer
    x = 413.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.