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Finding the Fourth Proportional to 196.64, 272.46 and 192.16

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Solution

The fourth proportional to 196.64, 272.46 and 192.16 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 272.46 = 192.16 : x
  2. Step 2: Convert to fraction form
    196.64/272.46 = 192.16/x
  3. Step 3: Cross multiply
    196.64x = 272.46 × 192.16
  4. Step 4: Simplify right side
    196.64x = 52,355.91
  5. Step 5: Solve for x
    x = 52,355.91/196.64
  6. Step 6: Final answer
    x = 266.25

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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.