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Finding the Fourth Proportional to 196.61, 271.46 and 162.05

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Solution

The fourth proportional to 196.61, 271.46 and 162.05 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.46 = 162.05 : x
  2. Step 2: Convert to fraction form
    196.61/271.46 = 162.05/x
  3. Step 3: Cross multiply
    196.61x = 271.46 × 162.05
  4. Step 4: Simplify right side
    196.61x = 43,989.14
  5. Step 5: Solve for x
    x = 43,989.14/196.61
  6. Step 6: Final answer
    x = 223.74

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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.