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Finding the Fourth Proportional to 343.31, 512.43 and 300.23

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Solution

The fourth proportional to 343.31, 512.43 and 300.23 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 512.43 = 300.23 : x
  2. Step 2: Convert to fraction form
    343.31/512.43 = 300.23/x
  3. Step 3: Cross multiply
    343.31x = 512.43 × 300.23
  4. Step 4: Simplify right side
    343.31x = 153,845.36
  5. Step 5: Solve for x
    x = 153,845.36/343.31
  6. Step 6: Final answer
    x = 448.12

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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.