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Finding the Fourth Proportional to 335.50, 502.89 and 198.67

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Solution

The fourth proportional to 335.50, 502.89 and 198.67 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.50 : 502.89 = 198.67 : x
  2. Step 2: Convert to fraction form
    335.50/502.89 = 198.67/x
  3. Step 3: Cross multiply
    335.50x = 502.89 × 198.67
  4. Step 4: Simplify right side
    335.50x = 99,909.16
  5. Step 5: Solve for x
    x = 99,909.16/335.50
  6. Step 6: Final answer
    x = 297.79

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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.