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Finding the Fourth Proportional to 380.89, 567.78 and 360.37

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Solution

The fourth proportional to 380.89, 567.78 and 360.37 is: 537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 567.78 = 360.37 : x
  2. Step 2: Convert to fraction form
    380.89/567.78 = 360.37/x
  3. Step 3: Cross multiply
    380.89x = 567.78 × 360.37
  4. Step 4: Simplify right side
    380.89x = 204,610.88
  5. Step 5: Solve for x
    x = 204,610.88/380.89
  6. Step 6: Final answer
    x = 537.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.