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Finding the Fourth Proportional to 194.42, 289.22 and 192.47

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Solution

The fourth proportional to 194.42, 289.22 and 192.47 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 289.22 = 192.47 : x
  2. Step 2: Convert to fraction form
    194.42/289.22 = 192.47/x
  3. Step 3: Cross multiply
    194.42x = 289.22 × 192.47
  4. Step 4: Simplify right side
    194.42x = 55,663.76
  5. Step 5: Solve for x
    x = 55,663.76/194.42
  6. Step 6: Final answer
    x = 286.31

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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.