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Finding the Fourth Proportional to 199.06, 298.45 and 160.77

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Solution

The fourth proportional to 199.06, 298.45 and 160.77 is: 241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 298.45 = 160.77 : x
  2. Step 2: Convert to fraction form
    199.06/298.45 = 160.77/x
  3. Step 3: Cross multiply
    199.06x = 298.45 × 160.77
  4. Step 4: Simplify right side
    199.06x = 47,981.81
  5. Step 5: Solve for x
    x = 47,981.81/199.06
  6. Step 6: Final answer
    x = 241.04

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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.