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Finding the Fourth Proportional to 199.61, 298.99 and 96.74

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Solution

The fourth proportional to 199.61, 298.99 and 96.74 is: 144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.61 : 298.99 = 96.74 : x
  2. Step 2: Convert to fraction form
    199.61/298.99 = 96.74/x
  3. Step 3: Cross multiply
    199.61x = 298.99 × 96.74
  4. Step 4: Simplify right side
    199.61x = 28,924.29
  5. Step 5: Solve for x
    x = 28,924.29/199.61
  6. Step 6: Final answer
    x = 144.90

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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.