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Finding the Fourth Proportional to 421.61, 582.09 and 323.18

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Solution

The fourth proportional to 421.61, 582.09 and 323.18 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.61 : 582.09 = 323.18 : x
  2. Step 2: Convert to fraction form
    421.61/582.09 = 323.18/x
  3. Step 3: Cross multiply
    421.61x = 582.09 × 323.18
  4. Step 4: Simplify right side
    421.61x = 188,119.85
  5. Step 5: Solve for x
    x = 188,119.85/421.61
  6. Step 6: Final answer
    x = 446.19

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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.