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Finding the Fourth Proportional to 208.59, 310.71 and 199.23

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Solution

The fourth proportional to 208.59, 310.71 and 199.23 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.59 : 310.71 = 199.23 : x
  2. Step 2: Convert to fraction form
    208.59/310.71 = 199.23/x
  3. Step 3: Cross multiply
    208.59x = 310.71 × 199.23
  4. Step 4: Simplify right side
    208.59x = 61,902.75
  5. Step 5: Solve for x
    x = 61,902.75/208.59
  6. Step 6: Final answer
    x = 296.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.