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Finding the Fourth Proportional to 216.97, 297.57 and 213.91

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Solution

The fourth proportional to 216.97, 297.57 and 213.91 is: 293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.97 : 297.57 = 213.91 : x
  2. Step 2: Convert to fraction form
    216.97/297.57 = 213.91/x
  3. Step 3: Cross multiply
    216.97x = 297.57 × 213.91
  4. Step 4: Simplify right side
    216.97x = 63,653.20
  5. Step 5: Solve for x
    x = 63,653.20/216.97
  6. Step 6: Final answer
    x = 293.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.