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Finding the Fourth Proportional to 231.86, 319.82 and 162.14

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Solution

The fourth proportional to 231.86, 319.82 and 162.14 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 319.82 = 162.14 : x
  2. Step 2: Convert to fraction form
    231.86/319.82 = 162.14/x
  3. Step 3: Cross multiply
    231.86x = 319.82 × 162.14
  4. Step 4: Simplify right side
    231.86x = 51,853.21
  5. Step 5: Solve for x
    x = 51,853.21/231.86
  6. Step 6: Final answer
    x = 223.64

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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.