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Finding the Fourth Proportional to 377.11, 564.44 and 203.36

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Solution

The fourth proportional to 377.11, 564.44 and 203.36 is: 304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.11 : 564.44 = 203.36 : x
  2. Step 2: Convert to fraction form
    377.11/564.44 = 203.36/x
  3. Step 3: Cross multiply
    377.11x = 564.44 × 203.36
  4. Step 4: Simplify right side
    377.11x = 114,785.57
  5. Step 5: Solve for x
    x = 114,785.57/377.11
  6. Step 6: Final answer
    x = 304.39

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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.