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Finding the Fourth Proportional to 196.56, 272.34 and 192.24

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Solution

The fourth proportional to 196.56, 272.34 and 192.24 is: 266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 272.34 = 192.24 : x
  2. Step 2: Convert to fraction form
    196.56/272.34 = 192.24/x
  3. Step 3: Cross multiply
    196.56x = 272.34 × 192.24
  4. Step 4: Simplify right side
    196.56x = 52,354.64
  5. Step 5: Solve for x
    x = 52,354.64/196.56
  6. Step 6: Final answer
    x = 266.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.