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Finding the Fourth Proportional to 386.60, 582.55 and 319.62

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Solution

The fourth proportional to 386.60, 582.55 and 319.62 is: 481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.60 : 582.55 = 319.62 : x
  2. Step 2: Convert to fraction form
    386.60/582.55 = 319.62/x
  3. Step 3: Cross multiply
    386.60x = 582.55 × 319.62
  4. Step 4: Simplify right side
    386.60x = 186,197.81
  5. Step 5: Solve for x
    x = 186,197.81/386.60
  6. Step 6: Final answer
    x = 481.63

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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.