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Finding the Fourth Proportional to 298.11, 445.28 and 289.91

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Solution

The fourth proportional to 298.11, 445.28 and 289.91 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.11 : 445.28 = 289.91 : x
  2. Step 2: Convert to fraction form
    298.11/445.28 = 289.91/x
  3. Step 3: Cross multiply
    298.11x = 445.28 × 289.91
  4. Step 4: Simplify right side
    298.11x = 129,092.42
  5. Step 5: Solve for x
    x = 129,092.42/298.11
  6. Step 6: Final answer
    x = 433.03

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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.