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Finding the Fourth Proportional to 196.72, 296.96 and 189.63

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Solution

The fourth proportional to 196.72, 296.96 and 189.63 is: 286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 296.96 = 189.63 : x
  2. Step 2: Convert to fraction form
    196.72/296.96 = 189.63/x
  3. Step 3: Cross multiply
    196.72x = 296.96 × 189.63
  4. Step 4: Simplify right side
    196.72x = 56,312.52
  5. Step 5: Solve for x
    x = 56,312.52/196.72
  6. Step 6: Final answer
    x = 286.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.