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Finding the Fourth Proportional to 298.87, 445.86 and 282.67

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Solution

The fourth proportional to 298.87, 445.86 and 282.67 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 445.86 = 282.67 : x
  2. Step 2: Convert to fraction form
    298.87/445.86 = 282.67/x
  3. Step 3: Cross multiply
    298.87x = 445.86 × 282.67
  4. Step 4: Simplify right side
    298.87x = 126,027.60
  5. Step 5: Solve for x
    x = 126,027.60/298.87
  6. Step 6: Final answer
    x = 421.69

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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.