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Finding the Fourth Proportional to 231.36, 317.92 and 208.96

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Solution

The fourth proportional to 231.36, 317.92 and 208.96 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 317.92 = 208.96 : x
  2. Step 2: Convert to fraction form
    231.36/317.92 = 208.96/x
  3. Step 3: Cross multiply
    231.36x = 317.92 × 208.96
  4. Step 4: Simplify right side
    231.36x = 66,432.56
  5. Step 5: Solve for x
    x = 66,432.56/231.36
  6. Step 6: Final answer
    x = 287.14

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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.