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Finding the Fourth Proportional to 189.87, 262.04 and 106.98

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Solution

The fourth proportional to 189.87, 262.04 and 106.98 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.87 : 262.04 = 106.98 : x
  2. Step 2: Convert to fraction form
    189.87/262.04 = 106.98/x
  3. Step 3: Cross multiply
    189.87x = 262.04 × 106.98
  4. Step 4: Simplify right side
    189.87x = 28,033.04
  5. Step 5: Solve for x
    x = 28,033.04/189.87
  6. Step 6: Final answer
    x = 147.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.