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Finding the Fourth Proportional to 196.83, 271.08 and 180.50

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Solution

The fourth proportional to 196.83, 271.08 and 180.50 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.08 = 180.50 : x
  2. Step 2: Convert to fraction form
    196.83/271.08 = 180.50/x
  3. Step 3: Cross multiply
    196.83x = 271.08 × 180.50
  4. Step 4: Simplify right side
    196.83x = 48,928.58
  5. Step 5: Solve for x
    x = 48,928.58/196.83
  6. Step 6: Final answer
    x = 248.58

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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.