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Finding the Fourth Proportional to 380.10, 517.80 and 380.10

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Solution

The fourth proportional to 380.10, 517.80 and 380.10 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 517.80 = 380.10 : x
  2. Step 2: Convert to fraction form
    380.10/517.80 = 380.10/x
  3. Step 3: Cross multiply
    380.10x = 517.80 × 380.10
  4. Step 4: Simplify right side
    380.10x = 196,815.78
  5. Step 5: Solve for x
    x = 196,815.78/380.10
  6. Step 6: Final answer
    x = 517.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.