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Finding the Fourth Proportional to 336.72, 505.42 and 206.87

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Solution

The fourth proportional to 336.72, 505.42 and 206.87 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.72 : 505.42 = 206.87 : x
  2. Step 2: Convert to fraction form
    336.72/505.42 = 206.87/x
  3. Step 3: Cross multiply
    336.72x = 505.42 × 206.87
  4. Step 4: Simplify right side
    336.72x = 104,556.24
  5. Step 5: Solve for x
    x = 104,556.24/336.72
  6. Step 6: Final answer
    x = 310.51

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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.