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Finding the Fourth Proportional to 375.96, 519 and 259.68

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Solution

The fourth proportional to 375.96, 519 and 259.68 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.96 : 519 = 259.68 : x
  2. Step 2: Convert to fraction form
    375.96/519 = 259.68/x
  3. Step 3: Cross multiply
    375.96x = 519 × 259.68
  4. Step 4: Simplify right side
    375.96x = 134,773.92
  5. Step 5: Solve for x
    x = 134,773.92/375.96
  6. Step 6: Final answer
    x = 358.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.