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Finding the Fourth Proportional to 372.26, 513.94 and 256.16

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Solution

The fourth proportional to 372.26, 513.94 and 256.16 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 513.94 = 256.16 : x
  2. Step 2: Convert to fraction form
    372.26/513.94 = 256.16/x
  3. Step 3: Cross multiply
    372.26x = 513.94 × 256.16
  4. Step 4: Simplify right side
    372.26x = 131,650.87
  5. Step 5: Solve for x
    x = 131,650.87/372.26
  6. Step 6: Final answer
    x = 353.65

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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.