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Finding the Fourth Proportional to 378.50, 523.35 and 300.74

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Solution

The fourth proportional to 378.50, 523.35 and 300.74 is: 415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 523.35 = 300.74 : x
  2. Step 2: Convert to fraction form
    378.50/523.35 = 300.74/x
  3. Step 3: Cross multiply
    378.50x = 523.35 × 300.74
  4. Step 4: Simplify right side
    378.50x = 157,392.28
  5. Step 5: Solve for x
    x = 157,392.28/378.50
  6. Step 6: Final answer
    x = 415.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.