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Finding the Fourth Proportional to 442.42, 609.55 and 324.19

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Solution

The fourth proportional to 442.42, 609.55 and 324.19 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.42 : 609.55 = 324.19 : x
  2. Step 2: Convert to fraction form
    442.42/609.55 = 324.19/x
  3. Step 3: Cross multiply
    442.42x = 609.55 × 324.19
  4. Step 4: Simplify right side
    442.42x = 197,610.01
  5. Step 5: Solve for x
    x = 197,610.01/442.42
  6. Step 6: Final answer
    x = 446.66

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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.