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Finding the Fourth Proportional to 298.85, 444.75 and 297.95

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Solution

The fourth proportional to 298.85, 444.75 and 297.95 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 444.75 = 297.95 : x
  2. Step 2: Convert to fraction form
    298.85/444.75 = 297.95/x
  3. Step 3: Cross multiply
    298.85x = 444.75 × 297.95
  4. Step 4: Simplify right side
    298.85x = 132,511.04
  5. Step 5: Solve for x
    x = 132,511.04/298.85
  6. Step 6: Final answer
    x = 443.41

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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.