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Finding the Fourth Proportional to 294.97, 408.97 and 284.98

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Solution

The fourth proportional to 294.97, 408.97 and 284.98 is: 395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.97 : 408.97 = 284.98 : x
  2. Step 2: Convert to fraction form
    294.97/408.97 = 284.98/x
  3. Step 3: Cross multiply
    294.97x = 408.97 × 284.98
  4. Step 4: Simplify right side
    294.97x = 116,548.27
  5. Step 5: Solve for x
    x = 116,548.27/294.97
  6. Step 6: Final answer
    x = 395.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.