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Finding the Fourth Proportional to 208.74, 287.64 and 190.11

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Solution

The fourth proportional to 208.74, 287.64 and 190.11 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 287.64 = 190.11 : x
  2. Step 2: Convert to fraction form
    208.74/287.64 = 190.11/x
  3. Step 3: Cross multiply
    208.74x = 287.64 × 190.11
  4. Step 4: Simplify right side
    208.74x = 54,683.24
  5. Step 5: Solve for x
    x = 54,683.24/208.74
  6. Step 6: Final answer
    x = 261.97

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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.