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Finding the Fourth Proportional to 136.36, 204.66 and 118.36

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Solution

The fourth proportional to 136.36, 204.66 and 118.36 is: 177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.36 : 204.66 = 118.36 : x
  2. Step 2: Convert to fraction form
    136.36/204.66 = 118.36/x
  3. Step 3: Cross multiply
    136.36x = 204.66 × 118.36
  4. Step 4: Simplify right side
    136.36x = 24,223.56
  5. Step 5: Solve for x
    x = 24,223.56/136.36
  6. Step 6: Final answer
    x = 177.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.