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Finding the Fourth Proportional to 324.49, 446.98 and 291.69

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Solution

The fourth proportional to 324.49, 446.98 and 291.69 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.49 : 446.98 = 291.69 : x
  2. Step 2: Convert to fraction form
    324.49/446.98 = 291.69/x
  3. Step 3: Cross multiply
    324.49x = 446.98 × 291.69
  4. Step 4: Simplify right side
    324.49x = 130,379.60
  5. Step 5: Solve for x
    x = 130,379.60/324.49
  6. Step 6: Final answer
    x = 401.80

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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.