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Finding the Fourth Proportional to 375.80, 518.72 and 218.53

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Solution

The fourth proportional to 375.80, 518.72 and 218.53 is: 301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 518.72 = 218.53 : x
  2. Step 2: Convert to fraction form
    375.80/518.72 = 218.53/x
  3. Step 3: Cross multiply
    375.80x = 518.72 × 218.53
  4. Step 4: Simplify right side
    375.80x = 113,355.88
  5. Step 5: Solve for x
    x = 113,355.88/375.80
  6. Step 6: Final answer
    x = 301.64

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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.