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Finding the Fourth Proportional to 335.59, 503.11 and 198.70

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Solution

The fourth proportional to 335.59, 503.11 and 198.70 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.59 : 503.11 = 198.70 : x
  2. Step 2: Convert to fraction form
    335.59/503.11 = 198.70/x
  3. Step 3: Cross multiply
    335.59x = 503.11 × 198.70
  4. Step 4: Simplify right side
    335.59x = 99,967.96
  5. Step 5: Solve for x
    x = 99,967.96/335.59
  6. Step 6: Final answer
    x = 297.89

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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.