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Finding the Fourth Proportional to 454.33, 626.07 and 323.11

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Solution

The fourth proportional to 454.33, 626.07 and 323.11 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.33 : 626.07 = 323.11 : x
  2. Step 2: Convert to fraction form
    454.33/626.07 = 323.11/x
  3. Step 3: Cross multiply
    454.33x = 626.07 × 323.11
  4. Step 4: Simplify right side
    454.33x = 202,289.48
  5. Step 5: Solve for x
    x = 202,289.48/454.33
  6. Step 6: Final answer
    x = 445.25

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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.