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Finding the Fourth Proportional to 188.55, 260.21 and 105.67

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Solution

The fourth proportional to 188.55, 260.21 and 105.67 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.55 : 260.21 = 105.67 : x
  2. Step 2: Convert to fraction form
    188.55/260.21 = 105.67/x
  3. Step 3: Cross multiply
    188.55x = 260.21 × 105.67
  4. Step 4: Simplify right side
    188.55x = 27,495.88
  5. Step 5: Solve for x
    x = 27,495.88/188.55
  6. Step 6: Final answer
    x = 145.83

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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.