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Finding the Fourth Proportional to 338.12, 506.87 and 257.32

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Solution

The fourth proportional to 338.12, 506.87 and 257.32 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 506.87 = 257.32 : x
  2. Step 2: Convert to fraction form
    338.12/506.87 = 257.32/x
  3. Step 3: Cross multiply
    338.12x = 506.87 × 257.32
  4. Step 4: Simplify right side
    338.12x = 130,427.79
  5. Step 5: Solve for x
    x = 130,427.79/338.12
  6. Step 6: Final answer
    x = 385.74

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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.