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Finding the Fourth Proportional to 324.90, 445.01 and 322.74

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Solution

The fourth proportional to 324.90, 445.01 and 322.74 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 445.01 = 322.74 : x
  2. Step 2: Convert to fraction form
    324.90/445.01 = 322.74/x
  3. Step 3: Cross multiply
    324.90x = 445.01 × 322.74
  4. Step 4: Simplify right side
    324.90x = 143,620.91
  5. Step 5: Solve for x
    x = 143,620.91/324.90
  6. Step 6: Final answer
    x = 442.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.