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Finding the Fourth Proportional to 98.01, 146.36 and 92.74

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Solution

The fourth proportional to 98.01, 146.36 and 92.74 is: 138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 146.36 = 92.74 : x
  2. Step 2: Convert to fraction form
    98.01/146.36 = 92.74/x
  3. Step 3: Cross multiply
    98.01x = 146.36 × 92.74
  4. Step 4: Simplify right side
    98.01x = 13,573.43
  5. Step 5: Solve for x
    x = 13,573.43/98.01
  6. Step 6: Final answer
    x = 138.49

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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.