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Finding the Fourth Proportional to 322.90, 486.39 and 294.19

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Solution

The fourth proportional to 322.90, 486.39 and 294.19 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 486.39 = 294.19 : x
  2. Step 2: Convert to fraction form
    322.90/486.39 = 294.19/x
  3. Step 3: Cross multiply
    322.90x = 486.39 × 294.19
  4. Step 4: Simplify right side
    322.90x = 143,089.60
  5. Step 5: Solve for x
    x = 143,089.60/322.90
  6. Step 6: Final answer
    x = 443.14

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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.