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Finding the Fourth Proportional to 98.27, 146.46 and 93.41

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Solution

The fourth proportional to 98.27, 146.46 and 93.41 is: 139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.27 : 146.46 = 93.41 : x
  2. Step 2: Convert to fraction form
    98.27/146.46 = 93.41/x
  3. Step 3: Cross multiply
    98.27x = 146.46 × 93.41
  4. Step 4: Simplify right side
    98.27x = 13,680.83
  5. Step 5: Solve for x
    x = 13,680.83/98.27
  6. Step 6: Final answer
    x = 139.22

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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.