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Finding the Fourth Proportional to 319.50, 439.83 and 286.74

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Solution

The fourth proportional to 319.50, 439.83 and 286.74 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 439.83 = 286.74 : x
  2. Step 2: Convert to fraction form
    319.50/439.83 = 286.74/x
  3. Step 3: Cross multiply
    319.50x = 439.83 × 286.74
  4. Step 4: Simplify right side
    319.50x = 126,116.85
  5. Step 5: Solve for x
    x = 126,116.85/319.50
  6. Step 6: Final answer
    x = 394.73

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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.