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Finding the Fourth Proportional to 351.26, 524.23 and 343.06

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Solution

The fourth proportional to 351.26, 524.23 and 343.06 is: 511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.26 : 524.23 = 343.06 : x
  2. Step 2: Convert to fraction form
    351.26/524.23 = 343.06/x
  3. Step 3: Cross multiply
    351.26x = 524.23 × 343.06
  4. Step 4: Simplify right side
    351.26x = 179,842.34
  5. Step 5: Solve for x
    x = 179,842.34/351.26
  6. Step 6: Final answer
    x = 511.99

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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.