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Finding the Fourth Proportional to 335.46, 502.38 and 198.55

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Solution

The fourth proportional to 335.46, 502.38 and 198.55 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.46 : 502.38 = 198.55 : x
  2. Step 2: Convert to fraction form
    335.46/502.38 = 198.55/x
  3. Step 3: Cross multiply
    335.46x = 502.38 × 198.55
  4. Step 4: Simplify right side
    335.46x = 99,748.18
  5. Step 5: Solve for x
    x = 99,748.18/335.46
  6. Step 6: Final answer
    x = 297.34

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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.