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Finding the Fourth Proportional to 297.20, 445.89 and 175.20

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Solution

The fourth proportional to 297.20, 445.89 and 175.20 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 445.89 = 175.20 : x
  2. Step 2: Convert to fraction form
    297.20/445.89 = 175.20/x
  3. Step 3: Cross multiply
    297.20x = 445.89 × 175.20
  4. Step 4: Simplify right side
    297.20x = 78,119.93
  5. Step 5: Solve for x
    x = 78,119.93/297.20
  6. Step 6: Final answer
    x = 262.86

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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.