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Finding the Fourth Proportional to 319.32, 440.68 and 195.05

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Solution

The fourth proportional to 319.32, 440.68 and 195.05 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 440.68 = 195.05 : x
  2. Step 2: Convert to fraction form
    319.32/440.68 = 195.05/x
  3. Step 3: Cross multiply
    319.32x = 440.68 × 195.05
  4. Step 4: Simplify right side
    319.32x = 85,952.92
  5. Step 5: Solve for x
    x = 85,952.92/319.32
  6. Step 6: Final answer
    x = 269.17

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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.