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Finding the Fourth Proportional to 189.02, 260.85 and 105

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Solution

The fourth proportional to 189.02, 260.85 and 105 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 260.85 = 105 : x
  2. Step 2: Convert to fraction form
    189.02/260.85 = 105/x
  3. Step 3: Cross multiply
    189.02x = 260.85 × 105
  4. Step 4: Simplify right side
    189.02x = 27,389.25
  5. Step 5: Solve for x
    x = 27,389.25/189.02
  6. Step 6: Final answer
    x = 144.90

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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.