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Finding the Fourth Proportional to 335.75, 504.53 and 198.86

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Solution

The fourth proportional to 335.75, 504.53 and 198.86 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 504.53 = 198.86 : x
  2. Step 2: Convert to fraction form
    335.75/504.53 = 198.86/x
  3. Step 3: Cross multiply
    335.75x = 504.53 × 198.86
  4. Step 4: Simplify right side
    335.75x = 100,328.06
  5. Step 5: Solve for x
    x = 100,328.06/335.75
  6. Step 6: Final answer
    x = 298.82

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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.