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Finding the Fourth Proportional to 231.35, 319.14 and 144

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Solution

The fourth proportional to 231.35, 319.14 and 144 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.35 : 319.14 = 144 : x
  2. Step 2: Convert to fraction form
    231.35/319.14 = 144/x
  3. Step 3: Cross multiply
    231.35x = 319.14 × 144
  4. Step 4: Simplify right side
    231.35x = 45,956.16
  5. Step 5: Solve for x
    x = 45,956.16/231.35
  6. Step 6: Final answer
    x = 198.65

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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.