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Finding the Fourth Proportional to 216.09, 297.63 and 205.11

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Solution

The fourth proportional to 216.09, 297.63 and 205.11 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 297.63 = 205.11 : x
  2. Step 2: Convert to fraction form
    216.09/297.63 = 205.11/x
  3. Step 3: Cross multiply
    216.09x = 297.63 × 205.11
  4. Step 4: Simplify right side
    216.09x = 61,046.89
  5. Step 5: Solve for x
    x = 61,046.89/216.09
  6. Step 6: Final answer
    x = 282.51

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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.