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Finding the Fourth Proportional to 196.72, 294.93 and 114.55

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Solution

The fourth proportional to 196.72, 294.93 and 114.55 is: 171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 294.93 = 114.55 : x
  2. Step 2: Convert to fraction form
    196.72/294.93 = 114.55/x
  3. Step 3: Cross multiply
    196.72x = 294.93 × 114.55
  4. Step 4: Simplify right side
    196.72x = 33,783.49
  5. Step 5: Solve for x
    x = 33,783.49/196.72
  6. Step 6: Final answer
    x = 171.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.