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Finding the Fourth Proportional to 298.20, 445.09 and 290.92

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Solution

The fourth proportional to 298.20, 445.09 and 290.92 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.20 : 445.09 = 290.92 : x
  2. Step 2: Convert to fraction form
    298.20/445.09 = 290.92/x
  3. Step 3: Cross multiply
    298.20x = 445.09 × 290.92
  4. Step 4: Simplify right side
    298.20x = 129,485.58
  5. Step 5: Solve for x
    x = 129,485.58/298.20
  6. Step 6: Final answer
    x = 434.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.