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Finding the Fourth Proportional to 298.24, 446.88 and 252.48

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Solution

The fourth proportional to 298.24, 446.88 and 252.48 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 446.88 = 252.48 : x
  2. Step 2: Convert to fraction form
    298.24/446.88 = 252.48/x
  3. Step 3: Cross multiply
    298.24x = 446.88 × 252.48
  4. Step 4: Simplify right side
    298.24x = 112,828.26
  5. Step 5: Solve for x
    x = 112,828.26/298.24
  6. Step 6: Final answer
    x = 378.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.