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Finding the Fourth Proportional to 298.35, 447.68 and 176.85

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Solution

The fourth proportional to 298.35, 447.68 and 176.85 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 447.68 = 176.85 : x
  2. Step 2: Convert to fraction form
    298.35/447.68 = 176.85/x
  3. Step 3: Cross multiply
    298.35x = 447.68 × 176.85
  4. Step 4: Simplify right side
    298.35x = 79,172.21
  5. Step 5: Solve for x
    x = 79,172.21/298.35
  6. Step 6: Final answer
    x = 265.37

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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.