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Finding the Fourth Proportional to 199.06, 274.07 and 162.34

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Solution

The fourth proportional to 199.06, 274.07 and 162.34 is: 223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 274.07 = 162.34 : x
  2. Step 2: Convert to fraction form
    199.06/274.07 = 162.34/x
  3. Step 3: Cross multiply
    199.06x = 274.07 × 162.34
  4. Step 4: Simplify right side
    199.06x = 44,492.24
  5. Step 5: Solve for x
    x = 44,492.24/199.06
  6. Step 6: Final answer
    x = 223.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.