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Finding the Fourth Proportional to 98.97, 149.34 and 95.22

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Solution

The fourth proportional to 98.97, 149.34 and 95.22 is: 143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 149.34 = 95.22 : x
  2. Step 2: Convert to fraction form
    98.97/149.34 = 95.22/x
  3. Step 3: Cross multiply
    98.97x = 149.34 × 95.22
  4. Step 4: Simplify right side
    98.97x = 14,220.15
  5. Step 5: Solve for x
    x = 14,220.15/98.97
  6. Step 6: Final answer
    x = 143.68

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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.