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Finding the Fourth Proportional to 196.50, 293.22 and 170.58

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Solution

The fourth proportional to 196.50, 293.22 and 170.58 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 293.22 = 170.58 : x
  2. Step 2: Convert to fraction form
    196.50/293.22 = 170.58/x
  3. Step 3: Cross multiply
    196.50x = 293.22 × 170.58
  4. Step 4: Simplify right side
    196.50x = 50,017.47
  5. Step 5: Solve for x
    x = 50,017.47/196.50
  6. Step 6: Final answer
    x = 254.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.