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Finding the Fourth Proportional to 217.98, 301.40 and 208.13

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Solution

The fourth proportional to 217.98, 301.40 and 208.13 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 301.40 = 208.13 : x
  2. Step 2: Convert to fraction form
    217.98/301.40 = 208.13/x
  3. Step 3: Cross multiply
    217.98x = 301.40 × 208.13
  4. Step 4: Simplify right side
    217.98x = 62,727.83
  5. Step 5: Solve for x
    x = 62,727.83/217.98
  6. Step 6: Final answer
    x = 287.77

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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.