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Finding the Fourth Proportional to 380.70, 521.51 and 379.62

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Solution

The fourth proportional to 380.70, 521.51 and 379.62 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 521.51 = 379.62 : x
  2. Step 2: Convert to fraction form
    380.70/521.51 = 379.62/x
  3. Step 3: Cross multiply
    380.70x = 521.51 × 379.62
  4. Step 4: Simplify right side
    380.70x = 197,973.73
  5. Step 5: Solve for x
    x = 197,973.73/380.70
  6. Step 6: Final answer
    x = 520.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.