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Finding the Fourth Proportional to 98.46, 136.38 and 92.54

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Solution

The fourth proportional to 98.46, 136.38 and 92.54 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 136.38 = 92.54 : x
  2. Step 2: Convert to fraction form
    98.46/136.38 = 92.54/x
  3. Step 3: Cross multiply
    98.46x = 136.38 × 92.54
  4. Step 4: Simplify right side
    98.46x = 12,620.14
  5. Step 5: Solve for x
    x = 12,620.14/98.46
  6. Step 6: Final answer
    x = 128.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.