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Finding the Fourth Proportional to 298.37, 445.11 and 282.17

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Solution

The fourth proportional to 298.37, 445.11 and 282.17 is: 420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.37 : 445.11 = 282.17 : x
  2. Step 2: Convert to fraction form
    298.37/445.11 = 282.17/x
  3. Step 3: Cross multiply
    298.37x = 445.11 × 282.17
  4. Step 4: Simplify right side
    298.37x = 125,594.46
  5. Step 5: Solve for x
    x = 125,594.46/298.37
  6. Step 6: Final answer
    x = 420.94

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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.