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Finding the Fourth Proportional to 137.64, 188.83 and 136.52

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Solution

The fourth proportional to 137.64, 188.83 and 136.52 is: 187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 188.83 = 136.52 : x
  2. Step 2: Convert to fraction form
    137.64/188.83 = 136.52/x
  3. Step 3: Cross multiply
    137.64x = 188.83 × 136.52
  4. Step 4: Simplify right side
    137.64x = 25,779.07
  5. Step 5: Solve for x
    x = 25,779.07/137.64
  6. Step 6: Final answer
    x = 187.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.