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Finding the Fourth Proportional to 298.92, 445.08 and 294.54

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Solution

The fourth proportional to 298.92, 445.08 and 294.54 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 445.08 = 294.54 : x
  2. Step 2: Convert to fraction form
    298.92/445.08 = 294.54/x
  3. Step 3: Cross multiply
    298.92x = 445.08 × 294.54
  4. Step 4: Simplify right side
    298.92x = 131,093.86
  5. Step 5: Solve for x
    x = 131,093.86/298.92
  6. Step 6: Final answer
    x = 438.56

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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.