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Finding the Fourth Proportional to 380.20, 568.86 and 360.40

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Solution

The fourth proportional to 380.20, 568.86 and 360.40 is: 539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 568.86 = 360.40 : x
  2. Step 2: Convert to fraction form
    380.20/568.86 = 360.40/x
  3. Step 3: Cross multiply
    380.20x = 568.86 × 360.40
  4. Step 4: Simplify right side
    380.20x = 205,017.14
  5. Step 5: Solve for x
    x = 205,017.14/380.20
  6. Step 6: Final answer
    x = 539.23

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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.