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Finding the Fourth Proportional to 208.27, 312.25 and 84.87

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Solution

The fourth proportional to 208.27, 312.25 and 84.87 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 312.25 = 84.87 : x
  2. Step 2: Convert to fraction form
    208.27/312.25 = 84.87/x
  3. Step 3: Cross multiply
    208.27x = 312.25 × 84.87
  4. Step 4: Simplify right side
    208.27x = 26,500.66
  5. Step 5: Solve for x
    x = 26,500.66/208.27
  6. Step 6: Final answer
    x = 127.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.