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Finding the Fourth Proportional to 98.14, 146.69 and 75.08

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Solution

The fourth proportional to 98.14, 146.69 and 75.08 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.14 : 146.69 = 75.08 : x
  2. Step 2: Convert to fraction form
    98.14/146.69 = 75.08/x
  3. Step 3: Cross multiply
    98.14x = 146.69 × 75.08
  4. Step 4: Simplify right side
    98.14x = 11,012.94
  5. Step 5: Solve for x
    x = 11,012.94/98.14
  6. Step 6: Final answer
    x = 112.22

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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.