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Finding the Fourth Proportional to 298.23, 449.39 and 245.31

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Solution

The fourth proportional to 298.23, 449.39 and 245.31 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 449.39 = 245.31 : x
  2. Step 2: Convert to fraction form
    298.23/449.39 = 245.31/x
  3. Step 3: Cross multiply
    298.23x = 449.39 × 245.31
  4. Step 4: Simplify right side
    298.23x = 110,238.63
  5. Step 5: Solve for x
    x = 110,238.63/298.23
  6. Step 6: Final answer
    x = 369.64

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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.