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Finding the Fourth Proportional to 375.55, 518.30 and 226.20

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Solution

The fourth proportional to 375.55, 518.30 and 226.20 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.55 : 518.30 = 226.20 : x
  2. Step 2: Convert to fraction form
    375.55/518.30 = 226.20/x
  3. Step 3: Cross multiply
    375.55x = 518.30 × 226.20
  4. Step 4: Simplify right side
    375.55x = 117,241.12
  5. Step 5: Solve for x
    x = 117,241.12/375.55
  6. Step 6: Final answer
    x = 312.19

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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.