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Finding the Fourth Proportional to 380.90, 567.57 and 363.46

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Solution

The fourth proportional to 380.90, 567.57 and 363.46 is: 541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 567.57 = 363.46 : x
  2. Step 2: Convert to fraction form
    380.90/567.57 = 363.46/x
  3. Step 3: Cross multiply
    380.90x = 567.57 × 363.46
  4. Step 4: Simplify right side
    380.90x = 206,287.17
  5. Step 5: Solve for x
    x = 206,287.17/380.90
  6. Step 6: Final answer
    x = 541.58

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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.