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Finding the Fourth Proportional to 379.80, 520.36 and 365.96

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Solution

The fourth proportional to 379.80, 520.36 and 365.96 is: 501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 520.36 = 365.96 : x
  2. Step 2: Convert to fraction form
    379.80/520.36 = 365.96/x
  3. Step 3: Cross multiply
    379.80x = 520.36 × 365.96
  4. Step 4: Simplify right side
    379.80x = 190,430.95
  5. Step 5: Solve for x
    x = 190,430.95/379.80
  6. Step 6: Final answer
    x = 501.40

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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.