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Finding the Fourth Proportional to 377.06, 518.84 and 365.78

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Solution

The fourth proportional to 377.06, 518.84 and 365.78 is: 503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 518.84 = 365.78 : x
  2. Step 2: Convert to fraction form
    377.06/518.84 = 365.78/x
  3. Step 3: Cross multiply
    377.06x = 518.84 × 365.78
  4. Step 4: Simplify right side
    377.06x = 189,776.87
  5. Step 5: Solve for x
    x = 189,776.87/377.06
  6. Step 6: Final answer
    x = 503.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.