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Finding the Fourth Proportional to 98.06, 146.18 and 95.65

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Solution

The fourth proportional to 98.06, 146.18 and 95.65 is: 142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.06 : 146.18 = 95.65 : x
  2. Step 2: Convert to fraction form
    98.06/146.18 = 95.65/x
  3. Step 3: Cross multiply
    98.06x = 146.18 × 95.65
  4. Step 4: Simplify right side
    98.06x = 13,981.99
  5. Step 5: Solve for x
    x = 13,981.99/98.06
  6. Step 6: Final answer
    x = 142.59

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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.