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Finding the Fourth Proportional to 377.94, 517.65 and 355.80

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Solution

The fourth proportional to 377.94, 517.65 and 355.80 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 517.65 = 355.80 : x
  2. Step 2: Convert to fraction form
    377.94/517.65 = 355.80/x
  3. Step 3: Cross multiply
    377.94x = 517.65 × 355.80
  4. Step 4: Simplify right side
    377.94x = 184,179.87
  5. Step 5: Solve for x
    x = 184,179.87/377.94
  6. Step 6: Final answer
    x = 487.33

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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.