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Finding the Fourth Proportional to 377.75, 521.27 and 209.70

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Solution

The fourth proportional to 377.75, 521.27 and 209.70 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 521.27 = 209.70 : x
  2. Step 2: Convert to fraction form
    377.75/521.27 = 209.70/x
  3. Step 3: Cross multiply
    377.75x = 521.27 × 209.70
  4. Step 4: Simplify right side
    377.75x = 109,310.32
  5. Step 5: Solve for x
    x = 109,310.32/377.75
  6. Step 6: Final answer
    x = 289.37

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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.