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Finding the Fourth Proportional to 298.91, 445.85 and 289.80

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Solution

The fourth proportional to 298.91, 445.85 and 289.80 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.91 : 445.85 = 289.80 : x
  2. Step 2: Convert to fraction form
    298.91/445.85 = 289.80/x
  3. Step 3: Cross multiply
    298.91x = 445.85 × 289.80
  4. Step 4: Simplify right side
    298.91x = 129,207.33
  5. Step 5: Solve for x
    x = 129,207.33/298.91
  6. Step 6: Final answer
    x = 432.26

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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.