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Finding the Fourth Proportional to 199.30, 298.86 and 91.21

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Solution

The fourth proportional to 199.30, 298.86 and 91.21 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.30 : 298.86 = 91.21 : x
  2. Step 2: Convert to fraction form
    199.30/298.86 = 91.21/x
  3. Step 3: Cross multiply
    199.30x = 298.86 × 91.21
  4. Step 4: Simplify right side
    199.30x = 27,259.02
  5. Step 5: Solve for x
    x = 27,259.02/199.30
  6. Step 6: Final answer
    x = 136.77

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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.