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Finding the Fourth Proportional to 421.44, 582.14 and 324.39

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Solution

The fourth proportional to 421.44, 582.14 and 324.39 is: 448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.44 : 582.14 = 324.39 : x
  2. Step 2: Convert to fraction form
    421.44/582.14 = 324.39/x
  3. Step 3: Cross multiply
    421.44x = 582.14 × 324.39
  4. Step 4: Simplify right side
    421.44x = 188,840.39
  5. Step 5: Solve for x
    x = 188,840.39/421.44
  6. Step 6: Final answer
    x = 448.08

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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.