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Finding the Fourth Proportional to 377.25, 520.52 and 253.09

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Solution

The fourth proportional to 377.25, 520.52 and 253.09 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.25 : 520.52 = 253.09 : x
  2. Step 2: Convert to fraction form
    377.25/520.52 = 253.09/x
  3. Step 3: Cross multiply
    377.25x = 520.52 × 253.09
  4. Step 4: Simplify right side
    377.25x = 131,738.41
  5. Step 5: Solve for x
    x = 131,738.41/377.25
  6. Step 6: Final answer
    x = 349.21

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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.