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Finding the Fourth Proportional to 189.78, 284.49 and 92.22

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Solution

The fourth proportional to 189.78, 284.49 and 92.22 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.49 = 92.22 : x
  2. Step 2: Convert to fraction form
    189.78/284.49 = 92.22/x
  3. Step 3: Cross multiply
    189.78x = 284.49 × 92.22
  4. Step 4: Simplify right side
    189.78x = 26,235.67
  5. Step 5: Solve for x
    x = 26,235.67/189.78
  6. Step 6: Final answer
    x = 138.24

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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.