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Finding the Fourth Proportional to 421.39, 582.03 and 324.31

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Solution

The fourth proportional to 421.39, 582.03 and 324.31 is: 447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.39 : 582.03 = 324.31 : x
  2. Step 2: Convert to fraction form
    421.39/582.03 = 324.31/x
  3. Step 3: Cross multiply
    421.39x = 582.03 × 324.31
  4. Step 4: Simplify right side
    421.39x = 188,756.53
  5. Step 5: Solve for x
    x = 188,756.53/421.39
  6. Step 6: Final answer
    x = 447.94

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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.