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Finding the Fourth Proportional to 319.15, 440.07 and 194.77

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Solution

The fourth proportional to 319.15, 440.07 and 194.77 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.07 = 194.77 : x
  2. Step 2: Convert to fraction form
    319.15/440.07 = 194.77/x
  3. Step 3: Cross multiply
    319.15x = 440.07 × 194.77
  4. Step 4: Simplify right side
    319.15x = 85,712.43
  5. Step 5: Solve for x
    x = 85,712.43/319.15
  6. Step 6: Final answer
    x = 268.56

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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.