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Finding the Fourth Proportional to 335.89, 503.85 and 206.71

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Solution

The fourth proportional to 335.89, 503.85 and 206.71 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.89 : 503.85 = 206.71 : x
  2. Step 2: Convert to fraction form
    335.89/503.85 = 206.71/x
  3. Step 3: Cross multiply
    335.89x = 503.85 × 206.71
  4. Step 4: Simplify right side
    335.89x = 104,150.83
  5. Step 5: Solve for x
    x = 104,150.83/335.89
  6. Step 6: Final answer
    x = 310.07

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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.