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Finding the Fourth Proportional to 377.96, 521.89 and 252.05

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Solution

The fourth proportional to 377.96, 521.89 and 252.05 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 521.89 = 252.05 : x
  2. Step 2: Convert to fraction form
    377.96/521.89 = 252.05/x
  3. Step 3: Cross multiply
    377.96x = 521.89 × 252.05
  4. Step 4: Simplify right side
    377.96x = 131,539.13
  5. Step 5: Solve for x
    x = 131,539.13/377.96
  6. Step 6: Final answer
    x = 348.02

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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.