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Finding the Fourth Proportional to 208.28, 284.96 and 207.48

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Solution

The fourth proportional to 208.28, 284.96 and 207.48 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 284.96 = 207.48 : x
  2. Step 2: Convert to fraction form
    208.28/284.96 = 207.48/x
  3. Step 3: Cross multiply
    208.28x = 284.96 × 207.48
  4. Step 4: Simplify right side
    208.28x = 59,123.50
  5. Step 5: Solve for x
    x = 59,123.50/208.28
  6. Step 6: Final answer
    x = 283.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.