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Finding the Fourth Proportional to 241.80, 364.02 and 222.99

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Solution

The fourth proportional to 241.80, 364.02 and 222.99 is: 335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 364.02 = 222.99 : x
  2. Step 2: Convert to fraction form
    241.80/364.02 = 222.99/x
  3. Step 3: Cross multiply
    241.80x = 364.02 × 222.99
  4. Step 4: Simplify right side
    241.80x = 81,172.82
  5. Step 5: Solve for x
    x = 81,172.82/241.80
  6. Step 6: Final answer
    x = 335.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.