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Finding the Fourth Proportional to 380.50, 568.27 and 359.44

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Solution

The fourth proportional to 380.50, 568.27 and 359.44 is: 536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 568.27 = 359.44 : x
  2. Step 2: Convert to fraction form
    380.50/568.27 = 359.44/x
  3. Step 3: Cross multiply
    380.50x = 568.27 × 359.44
  4. Step 4: Simplify right side
    380.50x = 204,256.13
  5. Step 5: Solve for x
    x = 204,256.13/380.50
  6. Step 6: Final answer
    x = 536.82

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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.