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Finding the Fourth Proportional to 208.41, 312.41 and 171.96

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Solution

The fourth proportional to 208.41, 312.41 and 171.96 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 312.41 = 171.96 : x
  2. Step 2: Convert to fraction form
    208.41/312.41 = 171.96/x
  3. Step 3: Cross multiply
    208.41x = 312.41 × 171.96
  4. Step 4: Simplify right side
    208.41x = 53,722.02
  5. Step 5: Solve for x
    x = 53,722.02/208.41
  6. Step 6: Final answer
    x = 257.77

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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.