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Finding the Fourth Proportional to 199.01, 298.58 and 83.45

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Solution

The fourth proportional to 199.01, 298.58 and 83.45 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.01 : 298.58 = 83.45 : x
  2. Step 2: Convert to fraction form
    199.01/298.58 = 83.45/x
  3. Step 3: Cross multiply
    199.01x = 298.58 × 83.45
  4. Step 4: Simplify right side
    199.01x = 24,914.59
  5. Step 5: Solve for x
    x = 24,914.59/199.01
  6. Step 6: Final answer
    x = 125.20

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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.