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Finding the Fourth Proportional to 231.64, 317.96 and 204.82

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Solution

The fourth proportional to 231.64, 317.96 and 204.82 is: 281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 317.96 = 204.82 : x
  2. Step 2: Convert to fraction form
    231.64/317.96 = 204.82/x
  3. Step 3: Cross multiply
    231.64x = 317.96 × 204.82
  4. Step 4: Simplify right side
    231.64x = 65,125.30
  5. Step 5: Solve for x
    x = 65,125.30/231.64
  6. Step 6: Final answer
    x = 281.15

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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.