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Finding the Fourth Proportional to 97.69, 146.73 and 94.99

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Solution

The fourth proportional to 97.69, 146.73 and 94.99 is: 142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 146.73 = 94.99 : x
  2. Step 2: Convert to fraction form
    97.69/146.73 = 94.99/x
  3. Step 3: Cross multiply
    97.69x = 146.73 × 94.99
  4. Step 4: Simplify right side
    97.69x = 13,938.03
  5. Step 5: Solve for x
    x = 13,938.03/97.69
  6. Step 6: Final answer
    x = 142.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.