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Finding the Fourth Proportional to 338.13, 509.24 and 257.54

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Solution

The fourth proportional to 338.13, 509.24 and 257.54 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 509.24 = 257.54 : x
  2. Step 2: Convert to fraction form
    338.13/509.24 = 257.54/x
  3. Step 3: Cross multiply
    338.13x = 509.24 × 257.54
  4. Step 4: Simplify right side
    338.13x = 131,145.84
  5. Step 5: Solve for x
    x = 131,145.84/338.13
  6. Step 6: Final answer
    x = 387.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.