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Finding the Fourth Proportional to 199.86, 275.16 and 170.16

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Solution

The fourth proportional to 199.86, 275.16 and 170.16 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 275.16 = 170.16 : x
  2. Step 2: Convert to fraction form
    199.86/275.16 = 170.16/x
  3. Step 3: Cross multiply
    199.86x = 275.16 × 170.16
  4. Step 4: Simplify right side
    199.86x = 46,821.23
  5. Step 5: Solve for x
    x = 46,821.23/199.86
  6. Step 6: Final answer
    x = 234.27

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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.