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Finding the Fourth Proportional to 216.16, 297.78 and 208

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Solution

The fourth proportional to 216.16, 297.78 and 208 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 297.78 = 208 : x
  2. Step 2: Convert to fraction form
    216.16/297.78 = 208/x
  3. Step 3: Cross multiply
    216.16x = 297.78 × 208
  4. Step 4: Simplify right side
    216.16x = 61,938.24
  5. Step 5: Solve for x
    x = 61,938.24/216.16
  6. Step 6: Final answer
    x = 286.54

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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.