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Finding the Fourth Proportional to 136.16, 203.16 and 119.02

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Solution

The fourth proportional to 136.16, 203.16 and 119.02 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.16 : 203.16 = 119.02 : x
  2. Step 2: Convert to fraction form
    136.16/203.16 = 119.02/x
  3. Step 3: Cross multiply
    136.16x = 203.16 × 119.02
  4. Step 4: Simplify right side
    136.16x = 24,180.10
  5. Step 5: Solve for x
    x = 24,180.10/136.16
  6. Step 6: Final answer
    x = 177.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.