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Finding the Fourth Proportional to 298.46, 446.90 and 195.59

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Solution

The fourth proportional to 298.46, 446.90 and 195.59 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 446.90 = 195.59 : x
  2. Step 2: Convert to fraction form
    298.46/446.90 = 195.59/x
  3. Step 3: Cross multiply
    298.46x = 446.90 × 195.59
  4. Step 4: Simplify right side
    298.46x = 87,405.96
  5. Step 5: Solve for x
    x = 87,405.96/298.46
  6. Step 6: Final answer
    x = 292.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.