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Finding the Fourth Proportional to 188.48, 259.94 and 123

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Solution

The fourth proportional to 188.48, 259.94 and 123 is: 169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 259.94 = 123 : x
  2. Step 2: Convert to fraction form
    188.48/259.94 = 123/x
  3. Step 3: Cross multiply
    188.48x = 259.94 × 123
  4. Step 4: Simplify right side
    188.48x = 31,972.62
  5. Step 5: Solve for x
    x = 31,972.62/188.48
  6. Step 6: Final answer
    x = 169.63

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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.