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Finding the Fourth Proportional to 298.49, 449.48 and 260.42

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Solution

The fourth proportional to 298.49, 449.48 and 260.42 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 449.48 = 260.42 : x
  2. Step 2: Convert to fraction form
    298.49/449.48 = 260.42/x
  3. Step 3: Cross multiply
    298.49x = 449.48 × 260.42
  4. Step 4: Simplify right side
    298.49x = 117,051.72
  5. Step 5: Solve for x
    x = 117,051.72/298.49
  6. Step 6: Final answer
    x = 392.15

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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.