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Finding the Fourth Proportional to 375.51, 518.13 and 218.10

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Solution

The fourth proportional to 375.51, 518.13 and 218.10 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.51 : 518.13 = 218.10 : x
  2. Step 2: Convert to fraction form
    375.51/518.13 = 218.10/x
  3. Step 3: Cross multiply
    375.51x = 518.13 × 218.10
  4. Step 4: Simplify right side
    375.51x = 113,004.15
  5. Step 5: Solve for x
    x = 113,004.15/375.51
  6. Step 6: Final answer
    x = 300.94

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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.