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Finding the Fourth Proportional to 188.36, 259.97 and 109.67

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Solution

The fourth proportional to 188.36, 259.97 and 109.67 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 259.97 = 109.67 : x
  2. Step 2: Convert to fraction form
    188.36/259.97 = 109.67/x
  3. Step 3: Cross multiply
    188.36x = 259.97 × 109.67
  4. Step 4: Simplify right side
    188.36x = 28,509.61
  5. Step 5: Solve for x
    x = 28,509.61/188.36
  6. Step 6: Final answer
    x = 151.36

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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.