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Finding the Fourth Proportional to 194.16, 292.56 and 189.84

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Solution

The fourth proportional to 194.16, 292.56 and 189.84 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 292.56 = 189.84 : x
  2. Step 2: Convert to fraction form
    194.16/292.56 = 189.84/x
  3. Step 3: Cross multiply
    194.16x = 292.56 × 189.84
  4. Step 4: Simplify right side
    194.16x = 55,539.59
  5. Step 5: Solve for x
    x = 55,539.59/194.16
  6. Step 6: Final answer
    x = 286.05

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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.