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Finding the Fourth Proportional to 417.60, 575.92 and 324.20

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Solution

The fourth proportional to 417.60, 575.92 and 324.20 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 575.92 = 324.20 : x
  2. Step 2: Convert to fraction form
    417.60/575.92 = 324.20/x
  3. Step 3: Cross multiply
    417.60x = 575.92 × 324.20
  4. Step 4: Simplify right side
    417.60x = 186,713.26
  5. Step 5: Solve for x
    x = 186,713.26/417.60
  6. Step 6: Final answer
    x = 447.11

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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.