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Finding the Fourth Proportional to 335.78, 504.25 and 206.54

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Solution

The fourth proportional to 335.78, 504.25 and 206.54 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 504.25 = 206.54 : x
  2. Step 2: Convert to fraction form
    335.78/504.25 = 206.54/x
  3. Step 3: Cross multiply
    335.78x = 504.25 × 206.54
  4. Step 4: Simplify right side
    335.78x = 104,146.65
  5. Step 5: Solve for x
    x = 104,146.65/335.78
  6. Step 6: Final answer
    x = 310.16

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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.