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Finding the Fourth Proportional to 154.98, 231.38 and 136.38

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Solution

The fourth proportional to 154.98, 231.38 and 136.38 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 231.38 = 136.38 : x
  2. Step 2: Convert to fraction form
    154.98/231.38 = 136.38/x
  3. Step 3: Cross multiply
    154.98x = 231.38 × 136.38
  4. Step 4: Simplify right side
    154.98x = 31,554.92
  5. Step 5: Solve for x
    x = 31,554.92/154.98
  6. Step 6: Final answer
    x = 203.61

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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.