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Finding the Fourth Proportional to 199.49, 275.06 and 162.54

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Solution

The fourth proportional to 199.49, 275.06 and 162.54 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 275.06 = 162.54 : x
  2. Step 2: Convert to fraction form
    199.49/275.06 = 162.54/x
  3. Step 3: Cross multiply
    199.49x = 275.06 × 162.54
  4. Step 4: Simplify right side
    199.49x = 44,708.66
  5. Step 5: Solve for x
    x = 44,708.66/199.49
  6. Step 6: Final answer
    x = 224.12

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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.