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Finding the Fourth Proportional to 319.27, 440.58 and 194.92

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Solution

The fourth proportional to 319.27, 440.58 and 194.92 is: 268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.27 : 440.58 = 194.92 : x
  2. Step 2: Convert to fraction form
    319.27/440.58 = 194.92/x
  3. Step 3: Cross multiply
    319.27x = 440.58 × 194.92
  4. Step 4: Simplify right side
    319.27x = 85,877.85
  5. Step 5: Solve for x
    x = 85,877.85/319.27
  6. Step 6: Final answer
    x = 268.98

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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.