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Finding the Fourth Proportional to 417.96, 575.41 and 323.19

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Solution

The fourth proportional to 417.96, 575.41 and 323.19 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 575.41 = 323.19 : x
  2. Step 2: Convert to fraction form
    417.96/575.41 = 323.19/x
  3. Step 3: Cross multiply
    417.96x = 575.41 × 323.19
  4. Step 4: Simplify right side
    417.96x = 185,966.76
  5. Step 5: Solve for x
    x = 185,966.76/417.96
  6. Step 6: Final answer
    x = 444.94

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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.