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Finding the Fourth Proportional to 386.69, 582.68 and 319.71

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Solution

The fourth proportional to 386.69, 582.68 and 319.71 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 582.68 = 319.71 : x
  2. Step 2: Convert to fraction form
    386.69/582.68 = 319.71/x
  3. Step 3: Cross multiply
    386.69x = 582.68 × 319.71
  4. Step 4: Simplify right side
    386.69x = 186,288.62
  5. Step 5: Solve for x
    x = 186,288.62/386.69
  6. Step 6: Final answer
    x = 481.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.