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Finding the Fourth Proportional to 335.63, 503.13 and 198.63

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Solution

The fourth proportional to 335.63, 503.13 and 198.63 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 503.13 = 198.63 : x
  2. Step 2: Convert to fraction form
    335.63/503.13 = 198.63/x
  3. Step 3: Cross multiply
    335.63x = 503.13 × 198.63
  4. Step 4: Simplify right side
    335.63x = 99,936.71
  5. Step 5: Solve for x
    x = 99,936.71/335.63
  6. Step 6: Final answer
    x = 297.76

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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.