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Finding the Fourth Proportional to 216.78, 296.99 and 208.56

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Solution

The fourth proportional to 216.78, 296.99 and 208.56 is: 285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 296.99 = 208.56 : x
  2. Step 2: Convert to fraction form
    216.78/296.99 = 208.56/x
  3. Step 3: Cross multiply
    216.78x = 296.99 × 208.56
  4. Step 4: Simplify right side
    216.78x = 61,939.19
  5. Step 5: Solve for x
    x = 61,939.19/216.78
  6. Step 6: Final answer
    x = 285.72

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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.