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Finding the Fourth Proportional to 222.15, 304.93 and 197.04

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Solution

The fourth proportional to 222.15, 304.93 and 197.04 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.15 : 304.93 = 197.04 : x
  2. Step 2: Convert to fraction form
    222.15/304.93 = 197.04/x
  3. Step 3: Cross multiply
    222.15x = 304.93 × 197.04
  4. Step 4: Simplify right side
    222.15x = 60,081.88
  5. Step 5: Solve for x
    x = 60,081.88/222.15
  6. Step 6: Final answer
    x = 270.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.