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Finding the Fourth Proportional to 297.86, 447.03 and 153.62

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Solution

The fourth proportional to 297.86, 447.03 and 153.62 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 447.03 = 153.62 : x
  2. Step 2: Convert to fraction form
    297.86/447.03 = 153.62/x
  3. Step 3: Cross multiply
    297.86x = 447.03 × 153.62
  4. Step 4: Simplify right side
    297.86x = 68,672.75
  5. Step 5: Solve for x
    x = 68,672.75/297.86
  6. Step 6: Final answer
    x = 230.55

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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.