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Finding the Fourth Proportional to 338.72, 509.04 and 261.92

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Solution

The fourth proportional to 338.72, 509.04 and 261.92 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 509.04 = 261.92 : x
  2. Step 2: Convert to fraction form
    338.72/509.04 = 261.92/x
  3. Step 3: Cross multiply
    338.72x = 509.04 × 261.92
  4. Step 4: Simplify right side
    338.72x = 133,327.76
  5. Step 5: Solve for x
    x = 133,327.76/338.72
  6. Step 6: Final answer
    x = 393.62

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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.