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Finding the Fourth Proportional to 338.72, 507.21 and 208.33

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Solution

The fourth proportional to 338.72, 507.21 and 208.33 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 507.21 = 208.33 : x
  2. Step 2: Convert to fraction form
    338.72/507.21 = 208.33/x
  3. Step 3: Cross multiply
    338.72x = 507.21 × 208.33
  4. Step 4: Simplify right side
    338.72x = 105,664.52
  5. Step 5: Solve for x
    x = 105,664.52/338.72
  6. Step 6: Final answer
    x = 311.96

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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.