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Finding the Fourth Proportional to 335.38, 503.10 and 255.22

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Solution

The fourth proportional to 335.38, 503.10 and 255.22 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.38 : 503.10 = 255.22 : x
  2. Step 2: Convert to fraction form
    335.38/503.10 = 255.22/x
  3. Step 3: Cross multiply
    335.38x = 503.10 × 255.22
  4. Step 4: Simplify right side
    335.38x = 128,401.18
  5. Step 5: Solve for x
    x = 128,401.18/335.38
  6. Step 6: Final answer
    x = 382.85

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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.