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Finding the Fourth Proportional to 421.68, 582.46 and 324.64

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Solution

The fourth proportional to 421.68, 582.46 and 324.64 is: 448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 582.46 = 324.64 : x
  2. Step 2: Convert to fraction form
    421.68/582.46 = 324.64/x
  3. Step 3: Cross multiply
    421.68x = 582.46 × 324.64
  4. Step 4: Simplify right side
    421.68x = 189,089.81
  5. Step 5: Solve for x
    x = 189,089.81/421.68
  6. Step 6: Final answer
    x = 448.42

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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.