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Finding the Fourth Proportional to 208.53, 310.73 and 198.71

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Solution

The fourth proportional to 208.53, 310.73 and 198.71 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 310.73 = 198.71 : x
  2. Step 2: Convert to fraction form
    208.53/310.73 = 198.71/x
  3. Step 3: Cross multiply
    208.53x = 310.73 × 198.71
  4. Step 4: Simplify right side
    208.53x = 61,742.61
  5. Step 5: Solve for x
    x = 61,742.61/208.53
  6. Step 6: Final answer
    x = 296.09

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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.