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Finding the Fourth Proportional to 196.60, 271.26 and 153.06

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Solution

The fourth proportional to 196.60, 271.26 and 153.06 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.60 : 271.26 = 153.06 : x
  2. Step 2: Convert to fraction form
    196.60/271.26 = 153.06/x
  3. Step 3: Cross multiply
    196.60x = 271.26 × 153.06
  4. Step 4: Simplify right side
    196.60x = 41,519.06
  5. Step 5: Solve for x
    x = 41,519.06/196.60
  6. Step 6: Final answer
    x = 211.19

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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.