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Finding the Fourth Proportional to 378.06, 519.47 and 300.30

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Solution

The fourth proportional to 378.06, 519.47 and 300.30 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 519.47 = 300.30 : x
  2. Step 2: Convert to fraction form
    378.06/519.47 = 300.30/x
  3. Step 3: Cross multiply
    378.06x = 519.47 × 300.30
  4. Step 4: Simplify right side
    378.06x = 155,995.34
  5. Step 5: Solve for x
    x = 155,995.34/378.06
  6. Step 6: Final answer
    x = 412.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.