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Finding the Fourth Proportional to 343.40, 519.16 and 343.40

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Solution

The fourth proportional to 343.40, 519.16 and 343.40 is: 519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 519.16 = 343.40 : x
  2. Step 2: Convert to fraction form
    343.40/519.16 = 343.40/x
  3. Step 3: Cross multiply
    343.40x = 519.16 × 343.40
  4. Step 4: Simplify right side
    343.40x = 178,277.83
  5. Step 5: Solve for x
    x = 178,277.83/343.40
  6. Step 6: Final answer
    x = 519.16

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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.