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Finding the Fourth Proportional to 189.24, 284.22 and 164.94

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Solution

The fourth proportional to 189.24, 284.22 and 164.94 is: 247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 284.22 = 164.94 : x
  2. Step 2: Convert to fraction form
    189.24/284.22 = 164.94/x
  3. Step 3: Cross multiply
    189.24x = 284.22 × 164.94
  4. Step 4: Simplify right side
    189.24x = 46,879.25
  5. Step 5: Solve for x
    x = 46,879.25/189.24
  6. Step 6: Final answer
    x = 247.72

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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.