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Finding the Fourth Proportional to 377.77, 566.15 and 204.50

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Solution

The fourth proportional to 377.77, 566.15 and 204.50 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.77 : 566.15 = 204.50 : x
  2. Step 2: Convert to fraction form
    377.77/566.15 = 204.50/x
  3. Step 3: Cross multiply
    377.77x = 566.15 × 204.50
  4. Step 4: Simplify right side
    377.77x = 115,776.65
  5. Step 5: Solve for x
    x = 115,776.65/377.77
  6. Step 6: Final answer
    x = 306.48

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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.