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Finding the Fourth Proportional to 324.17, 446.63 and 289.20

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Solution

The fourth proportional to 324.17, 446.63 and 289.20 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.17 : 446.63 = 289.20 : x
  2. Step 2: Convert to fraction form
    324.17/446.63 = 289.20/x
  3. Step 3: Cross multiply
    324.17x = 446.63 × 289.20
  4. Step 4: Simplify right side
    324.17x = 129,165.40
  5. Step 5: Solve for x
    x = 129,165.40/324.17
  6. Step 6: Final answer
    x = 398.46

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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.