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Finding the Fourth Proportional to 343.08, 515.40 and 271.80

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Solution

The fourth proportional to 343.08, 515.40 and 271.80 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 515.40 = 271.80 : x
  2. Step 2: Convert to fraction form
    343.08/515.40 = 271.80/x
  3. Step 3: Cross multiply
    343.08x = 515.40 × 271.80
  4. Step 4: Simplify right side
    343.08x = 140,085.72
  5. Step 5: Solve for x
    x = 140,085.72/343.08
  6. Step 6: Final answer
    x = 408.32

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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.