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Finding the Fourth Proportional to 343.96, 518.16 and 259

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Solution

The fourth proportional to 343.96, 518.16 and 259 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 518.16 = 259 : x
  2. Step 2: Convert to fraction form
    343.96/518.16 = 259/x
  3. Step 3: Cross multiply
    343.96x = 518.16 × 259
  4. Step 4: Simplify right side
    343.96x = 134,203.44
  5. Step 5: Solve for x
    x = 134,203.44/343.96
  6. Step 6: Final answer
    x = 390.17

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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.