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Finding the Fourth Proportional to 298.11, 446.94 and 176.21

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Solution

The fourth proportional to 298.11, 446.94 and 176.21 is: 264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.11 : 446.94 = 176.21 : x
  2. Step 2: Convert to fraction form
    298.11/446.94 = 176.21/x
  3. Step 3: Cross multiply
    298.11x = 446.94 × 176.21
  4. Step 4: Simplify right side
    298.11x = 78,755.30
  5. Step 5: Solve for x
    x = 78,755.30/298.11
  6. Step 6: Final answer
    x = 264.18

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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.