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Finding the Fourth Proportional to 136.22, 188.48 and 118.77

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Solution

The fourth proportional to 136.22, 188.48 and 118.77 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 188.48 = 118.77 : x
  2. Step 2: Convert to fraction form
    136.22/188.48 = 118.77/x
  3. Step 3: Cross multiply
    136.22x = 188.48 × 118.77
  4. Step 4: Simplify right side
    136.22x = 22,385.18
  5. Step 5: Solve for x
    x = 22,385.18/136.22
  6. Step 6: Final answer
    x = 164.33

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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.