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Finding the Fourth Proportional to 338.32, 507.81 and 251.77

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Solution

The fourth proportional to 338.32, 507.81 and 251.77 is: 377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 507.81 = 251.77 : x
  2. Step 2: Convert to fraction form
    338.32/507.81 = 251.77/x
  3. Step 3: Cross multiply
    338.32x = 507.81 × 251.77
  4. Step 4: Simplify right side
    338.32x = 127,851.32
  5. Step 5: Solve for x
    x = 127,851.32/338.32
  6. Step 6: Final answer
    x = 377.90

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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.