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Finding the Fourth Proportional to 144.84, 199.89 and 89.61

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Solution

The fourth proportional to 144.84, 199.89 and 89.61 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.84 : 199.89 = 89.61 : x
  2. Step 2: Convert to fraction form
    144.84/199.89 = 89.61/x
  3. Step 3: Cross multiply
    144.84x = 199.89 × 89.61
  4. Step 4: Simplify right side
    144.84x = 17,912.14
  5. Step 5: Solve for x
    x = 17,912.14/144.84
  6. Step 6: Final answer
    x = 123.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.