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Finding the Fourth Proportional to 378.45, 520.78 and 334.89

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Solution

The fourth proportional to 378.45, 520.78 and 334.89 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 520.78 = 334.89 : x
  2. Step 2: Convert to fraction form
    378.45/520.78 = 334.89/x
  3. Step 3: Cross multiply
    378.45x = 520.78 × 334.89
  4. Step 4: Simplify right side
    378.45x = 174,404.01
  5. Step 5: Solve for x
    x = 174,404.01/378.45
  6. Step 6: Final answer
    x = 460.84

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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.