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Finding the Fourth Proportional to 298.10, 449.03 and 279.88

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Solution

The fourth proportional to 298.10, 449.03 and 279.88 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 449.03 = 279.88 : x
  2. Step 2: Convert to fraction form
    298.10/449.03 = 279.88/x
  3. Step 3: Cross multiply
    298.10x = 449.03 × 279.88
  4. Step 4: Simplify right side
    298.10x = 125,674.09
  5. Step 5: Solve for x
    x = 125,674.09/298.10
  6. Step 6: Final answer
    x = 421.58

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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.