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Finding the Fourth Proportional to 343.06, 513.69 and 271.06

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Solution

The fourth proportional to 343.06, 513.69 and 271.06 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 513.69 = 271.06 : x
  2. Step 2: Convert to fraction form
    343.06/513.69 = 271.06/x
  3. Step 3: Cross multiply
    343.06x = 513.69 × 271.06
  4. Step 4: Simplify right side
    343.06x = 139,240.81
  5. Step 5: Solve for x
    x = 139,240.81/343.06
  6. Step 6: Final answer
    x = 405.88

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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.