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Finding the Fourth Proportional to 343.19, 513.02 and 255.71

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Solution

The fourth proportional to 343.19, 513.02 and 255.71 is: 382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 513.02 = 255.71 : x
  2. Step 2: Convert to fraction form
    343.19/513.02 = 255.71/x
  3. Step 3: Cross multiply
    343.19x = 513.02 × 255.71
  4. Step 4: Simplify right side
    343.19x = 131,186.27
  5. Step 5: Solve for x
    x = 131,186.27/343.19
  6. Step 6: Final answer
    x = 382.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.