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Finding the Fourth Proportional to 188.97, 260.90 and 136.48

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Solution

The fourth proportional to 188.97, 260.90 and 136.48 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 260.90 = 136.48 : x
  2. Step 2: Convert to fraction form
    188.97/260.90 = 136.48/x
  3. Step 3: Cross multiply
    188.97x = 260.90 × 136.48
  4. Step 4: Simplify right side
    188.97x = 35,607.63
  5. Step 5: Solve for x
    x = 35,607.63/188.97
  6. Step 6: Final answer
    x = 188.43

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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.