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Finding the Fourth Proportional to 298.45, 445.24 and 250.00

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Solution

The fourth proportional to 298.45, 445.24 and 250.00 is: 372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.45 : 445.24 = 250.00 : x
  2. Step 2: Convert to fraction form
    298.45/445.24 = 250.00/x
  3. Step 3: Cross multiply
    298.45x = 445.24 × 250.00
  4. Step 4: Simplify right side
    298.45x = 111,306.52
  5. Step 5: Solve for x
    x = 111,306.52/298.45
  6. Step 6: Final answer
    x = 372.95

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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.