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Finding the Fourth Proportional to 97.99, 146.25 and 94.75

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Solution

The fourth proportional to 97.99, 146.25 and 94.75 is: 141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 146.25 = 94.75 : x
  2. Step 2: Convert to fraction form
    97.99/146.25 = 94.75/x
  3. Step 3: Cross multiply
    97.99x = 146.25 × 94.75
  4. Step 4: Simplify right side
    97.99x = 13,857.19
  5. Step 5: Solve for x
    x = 13,857.19/97.99
  6. Step 6: Final answer
    x = 141.41

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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.