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Finding the Fourth Proportional to 190.60, 287.06 and 161.96

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Solution

The fourth proportional to 190.60, 287.06 and 161.96 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.60 : 287.06 = 161.96 : x
  2. Step 2: Convert to fraction form
    190.60/287.06 = 161.96/x
  3. Step 3: Cross multiply
    190.60x = 287.06 × 161.96
  4. Step 4: Simplify right side
    190.60x = 46,492.24
  5. Step 5: Solve for x
    x = 46,492.24/190.60
  6. Step 6: Final answer
    x = 243.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.