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Finding the Fourth Proportional to 216.92, 297.83 and 211.28

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Solution

The fourth proportional to 216.92, 297.83 and 211.28 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 297.83 = 211.28 : x
  2. Step 2: Convert to fraction form
    216.92/297.83 = 211.28/x
  3. Step 3: Cross multiply
    216.92x = 297.83 × 211.28
  4. Step 4: Simplify right side
    216.92x = 62,922.98
  5. Step 5: Solve for x
    x = 62,922.98/216.92
  6. Step 6: Final answer
    x = 290.08

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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.