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Finding the Fourth Proportional to 377.78, 566.19 and 206.90

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Solution

The fourth proportional to 377.78, 566.19 and 206.90 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.78 : 566.19 = 206.90 : x
  2. Step 2: Convert to fraction form
    377.78/566.19 = 206.90/x
  3. Step 3: Cross multiply
    377.78x = 566.19 × 206.90
  4. Step 4: Simplify right side
    377.78x = 117,144.71
  5. Step 5: Solve for x
    x = 117,144.71/377.78
  6. Step 6: Final answer
    x = 310.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.