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Finding the Fourth Proportional to 377.87, 566.51 and 204.43

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Solution

The fourth proportional to 377.87, 566.51 and 204.43 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.87 : 566.51 = 204.43 : x
  2. Step 2: Convert to fraction form
    377.87/566.51 = 204.43/x
  3. Step 3: Cross multiply
    377.87x = 566.51 × 204.43
  4. Step 4: Simplify right side
    377.87x = 115,808.81
  5. Step 5: Solve for x
    x = 115,808.81/377.87
  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.