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Finding the Fourth Proportional to 208.28, 310.62 and 190.72

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Solution

The fourth proportional to 208.28, 310.62 and 190.72 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 310.62 = 190.72 : x
  2. Step 2: Convert to fraction form
    208.28/310.62 = 190.72/x
  3. Step 3: Cross multiply
    208.28x = 310.62 × 190.72
  4. Step 4: Simplify right side
    208.28x = 59,241.45
  5. Step 5: Solve for x
    x = 59,241.45/208.28
  6. Step 6: Final answer
    x = 284.43

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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.