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Finding the Fourth Proportional to 322.98, 446.07 and 297.46

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Solution

The fourth proportional to 322.98, 446.07 and 297.46 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 446.07 = 297.46 : x
  2. Step 2: Convert to fraction form
    322.98/446.07 = 297.46/x
  3. Step 3: Cross multiply
    322.98x = 446.07 × 297.46
  4. Step 4: Simplify right side
    322.98x = 132,687.98
  5. Step 5: Solve for x
    x = 132,687.98/322.98
  6. Step 6: Final answer
    x = 410.82

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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.