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Finding the Fourth Proportional to 97.08, 146.19 and 80.98

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Solution

The fourth proportional to 97.08, 146.19 and 80.98 is: 121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.08 : 146.19 = 80.98 : x
  2. Step 2: Convert to fraction form
    97.08/146.19 = 80.98/x
  3. Step 3: Cross multiply
    97.08x = 146.19 × 80.98
  4. Step 4: Simplify right side
    97.08x = 11,838.40
  5. Step 5: Solve for x
    x = 11,838.40/97.08
  6. Step 6: Final answer
    x = 121.95

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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.