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Finding the Fourth Proportional to 421.88, 582.40 and 324.07

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Solution

The fourth proportional to 421.88, 582.40 and 324.07 is: 447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 582.40 = 324.07 : x
  2. Step 2: Convert to fraction form
    421.88/582.40 = 324.07/x
  3. Step 3: Cross multiply
    421.88x = 582.40 × 324.07
  4. Step 4: Simplify right side
    421.88x = 188,738.37
  5. Step 5: Solve for x
    x = 188,738.37/421.88
  6. Step 6: Final answer
    x = 447.37

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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.