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Finding the Fourth Proportional to 298.10, 445.12 and 252.47

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Solution

The fourth proportional to 298.10, 445.12 and 252.47 is: 376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 445.12 = 252.47 : x
  2. Step 2: Convert to fraction form
    298.10/445.12 = 252.47/x
  3. Step 3: Cross multiply
    298.10x = 445.12 × 252.47
  4. Step 4: Simplify right side
    298.10x = 112,379.93
  5. Step 5: Solve for x
    x = 112,379.93/298.10
  6. Step 6: Final answer
    x = 376.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.