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Finding the Fourth Proportional to 196.08, 268.94 and 174.21

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Solution

The fourth proportional to 196.08, 268.94 and 174.21 is: 238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 268.94 = 174.21 : x
  2. Step 2: Convert to fraction form
    196.08/268.94 = 174.21/x
  3. Step 3: Cross multiply
    196.08x = 268.94 × 174.21
  4. Step 4: Simplify right side
    196.08x = 46,851.17
  5. Step 5: Solve for x
    x = 46,851.17/196.08
  6. Step 6: Final answer
    x = 238.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.