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Finding the Fourth Proportional to 375.99, 518.93 and 218.65

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Solution

The fourth proportional to 375.99, 518.93 and 218.65 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.99 : 518.93 = 218.65 : x
  2. Step 2: Convert to fraction form
    375.99/518.93 = 218.65/x
  3. Step 3: Cross multiply
    375.99x = 518.93 × 218.65
  4. Step 4: Simplify right side
    375.99x = 113,464.04
  5. Step 5: Solve for x
    x = 113,464.04/375.99
  6. Step 6: Final answer
    x = 301.77

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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.