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Finding the Fourth Proportional to 442.75, 610.66 and 324.68

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Solution

The fourth proportional to 442.75, 610.66 and 324.68 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 610.66 = 324.68 : x
  2. Step 2: Convert to fraction form
    442.75/610.66 = 324.68/x
  3. Step 3: Cross multiply
    442.75x = 610.66 × 324.68
  4. Step 4: Simplify right side
    442.75x = 198,269.09
  5. Step 5: Solve for x
    x = 198,269.09/442.75
  6. Step 6: Final answer
    x = 447.81

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Find fourth proportional to 221.38, 305.33 and 162.34
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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.