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Finding the Fourth Proportional to 231.57, 319.12 and 165.96

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Solution

The fourth proportional to 231.57, 319.12 and 165.96 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 319.12 = 165.96 : x
  2. Step 2: Convert to fraction form
    231.57/319.12 = 165.96/x
  3. Step 3: Cross multiply
    231.57x = 319.12 × 165.96
  4. Step 4: Simplify right side
    231.57x = 52,961.16
  5. Step 5: Solve for x
    x = 52,961.16/231.57
  6. Step 6: Final answer
    x = 228.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.