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Finding the Fourth Proportional to 98.94, 149.05 and 97.68

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Solution

The fourth proportional to 98.94, 149.05 and 97.68 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.94 : 149.05 = 97.68 : x
  2. Step 2: Convert to fraction form
    98.94/149.05 = 97.68/x
  3. Step 3: Cross multiply
    98.94x = 149.05 × 97.68
  4. Step 4: Simplify right side
    98.94x = 14,558.96
  5. Step 5: Solve for x
    x = 14,558.96/98.94
  6. Step 6: Final answer
    x = 147.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.