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Finding the Fourth Proportional to 298.26, 449.43 and 245.34

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Solution

The fourth proportional to 298.26, 449.43 and 245.34 is: 369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.26 : 449.43 = 245.34 : x
  2. Step 2: Convert to fraction form
    298.26/449.43 = 245.34/x
  3. Step 3: Cross multiply
    298.26x = 449.43 × 245.34
  4. Step 4: Simplify right side
    298.26x = 110,263.16
  5. Step 5: Solve for x
    x = 110,263.16/298.26
  6. Step 6: Final answer
    x = 369.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.