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Finding the Fourth Proportional to 343.92, 512.90 and 305.36

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Solution

The fourth proportional to 343.92, 512.90 and 305.36 is: 455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 512.90 = 305.36 : x
  2. Step 2: Convert to fraction form
    343.92/512.90 = 305.36/x
  3. Step 3: Cross multiply
    343.92x = 512.90 × 305.36
  4. Step 4: Simplify right side
    343.92x = 156,619.14
  5. Step 5: Solve for x
    x = 156,619.14/343.92
  6. Step 6: Final answer
    x = 455.39

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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.