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Finding the Fourth Proportional to 196.69, 293.74 and 158.23

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Solution

The fourth proportional to 196.69, 293.74 and 158.23 is: 236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.69 : 293.74 = 158.23 : x
  2. Step 2: Convert to fraction form
    196.69/293.74 = 158.23/x
  3. Step 3: Cross multiply
    196.69x = 293.74 × 158.23
  4. Step 4: Simplify right side
    196.69x = 46,478.48
  5. Step 5: Solve for x
    x = 46,478.48/196.69
  6. Step 6: Final answer
    x = 236.30

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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.