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Finding the Fourth Proportional to 196.89, 270.88 and 170.58

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Solution

The fourth proportional to 196.89, 270.88 and 170.58 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 270.88 = 170.58 : x
  2. Step 2: Convert to fraction form
    196.89/270.88 = 170.58/x
  3. Step 3: Cross multiply
    196.89x = 270.88 × 170.58
  4. Step 4: Simplify right side
    196.89x = 46,206.71
  5. Step 5: Solve for x
    x = 46,206.71/196.89
  6. Step 6: Final answer
    x = 234.68

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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.