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Finding the Fourth Proportional to 395.98, 547.26 and 297.70

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Solution

The fourth proportional to 395.98, 547.26 and 297.70 is: 411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 547.26 = 297.70 : x
  2. Step 2: Convert to fraction form
    395.98/547.26 = 297.70/x
  3. Step 3: Cross multiply
    395.98x = 547.26 × 297.70
  4. Step 4: Simplify right side
    395.98x = 162,919.30
  5. Step 5: Solve for x
    x = 162,919.30/395.98
  6. Step 6: Final answer
    x = 411.43

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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.