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Finding the Fourth Proportional to 322.91, 486.11 and 294.21

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Solution

The fourth proportional to 322.91, 486.11 and 294.21 is: 442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.91 : 486.11 = 294.21 : x
  2. Step 2: Convert to fraction form
    322.91/486.11 = 294.21/x
  3. Step 3: Cross multiply
    322.91x = 486.11 × 294.21
  4. Step 4: Simplify right side
    322.91x = 143,018.42
  5. Step 5: Solve for x
    x = 143,018.42/322.91
  6. Step 6: Final answer
    x = 442.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.