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Finding the Fourth Proportional to 196.19, 270.30 and 143.64

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Solution

The fourth proportional to 196.19, 270.30 and 143.64 is: 197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 270.30 = 143.64 : x
  2. Step 2: Convert to fraction form
    196.19/270.30 = 143.64/x
  3. Step 3: Cross multiply
    196.19x = 270.30 × 143.64
  4. Step 4: Simplify right side
    196.19x = 38,825.89
  5. Step 5: Solve for x
    x = 38,825.89/196.19
  6. Step 6: Final answer
    x = 197.90

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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.