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Finding the Fourth Proportional to 321.99, 444.42 and 204.13

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Solution

The fourth proportional to 321.99, 444.42 and 204.13 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.99 : 444.42 = 204.13 : x
  2. Step 2: Convert to fraction form
    321.99/444.42 = 204.13/x
  3. Step 3: Cross multiply
    321.99x = 444.42 × 204.13
  4. Step 4: Simplify right side
    321.99x = 90,718.76
  5. Step 5: Solve for x
    x = 90,718.76/321.99
  6. Step 6: Final answer
    x = 281.74

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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.