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Finding the Fourth Proportional to 335.15, 503.38 and 203.64

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Solution

The fourth proportional to 335.15, 503.38 and 203.64 is: 305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.15 : 503.38 = 203.64 : x
  2. Step 2: Convert to fraction form
    335.15/503.38 = 203.64/x
  3. Step 3: Cross multiply
    335.15x = 503.38 × 203.64
  4. Step 4: Simplify right side
    335.15x = 102,508.30
  5. Step 5: Solve for x
    x = 102,508.30/335.15
  6. Step 6: Final answer
    x = 305.86

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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.