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Finding the Fourth Proportional to 335.74, 503.07 and 198.91

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Solution

The fourth proportional to 335.74, 503.07 and 198.91 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.74 : 503.07 = 198.91 : x
  2. Step 2: Convert to fraction form
    335.74/503.07 = 198.91/x
  3. Step 3: Cross multiply
    335.74x = 503.07 × 198.91
  4. Step 4: Simplify right side
    335.74x = 100,065.65
  5. Step 5: Solve for x
    x = 100,065.65/335.74
  6. Step 6: Final answer
    x = 298.05

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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.