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Finding the Fourth Proportional to 208.26, 312.38 and 54.18

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Solution

The fourth proportional to 208.26, 312.38 and 54.18 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 312.38 = 54.18 : x
  2. Step 2: Convert to fraction form
    208.26/312.38 = 54.18/x
  3. Step 3: Cross multiply
    208.26x = 312.38 × 54.18
  4. Step 4: Simplify right side
    208.26x = 16,926.26
  5. Step 5: Solve for x
    x = 16,926.26/208.26
  6. Step 6: Final answer
    x = 81.28

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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.