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Finding the Fourth Proportional to 319.33, 440.40 and 286.93

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Solution

The fourth proportional to 319.33, 440.40 and 286.93 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.33 : 440.40 = 286.93 : x
  2. Step 2: Convert to fraction form
    319.33/440.40 = 286.93/x
  3. Step 3: Cross multiply
    319.33x = 440.40 × 286.93
  4. Step 4: Simplify right side
    319.33x = 126,363.97
  5. Step 5: Solve for x
    x = 126,363.97/319.33
  6. Step 6: Final answer
    x = 395.72

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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.