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Finding the Fourth Proportional to 445.84, 615.17 and 321.69

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Solution

The fourth proportional to 445.84, 615.17 and 321.69 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 615.17 = 321.69 : x
  2. Step 2: Convert to fraction form
    445.84/615.17 = 321.69/x
  3. Step 3: Cross multiply
    445.84x = 615.17 × 321.69
  4. Step 4: Simplify right side
    445.84x = 197,890.16
  5. Step 5: Solve for x
    x = 197,890.16/445.84
  6. Step 6: Final answer
    x = 443.86

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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.