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Finding the Fourth Proportional to 378.26, 564.24 and 334.52

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Solution

The fourth proportional to 378.26, 564.24 and 334.52 is: 498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.26 : 564.24 = 334.52 : x
  2. Step 2: Convert to fraction form
    378.26/564.24 = 334.52/x
  3. Step 3: Cross multiply
    378.26x = 564.24 × 334.52
  4. Step 4: Simplify right side
    378.26x = 188,749.56
  5. Step 5: Solve for x
    x = 188,749.56/378.26
  6. Step 6: Final answer
    x = 498.99

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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.