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Finding the Fourth Proportional to 196.50, 271.18 and 118.88

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Solution

The fourth proportional to 196.50, 271.18 and 118.88 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 271.18 = 118.88 : x
  2. Step 2: Convert to fraction form
    196.50/271.18 = 118.88/x
  3. Step 3: Cross multiply
    196.50x = 271.18 × 118.88
  4. Step 4: Simplify right side
    196.50x = 32,237.88
  5. Step 5: Solve for x
    x = 32,237.88/196.50
  6. Step 6: Final answer
    x = 164.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.