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Finding the Fourth Proportional to 199.29, 275.09 and 157.94

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Solution

The fourth proportional to 199.29, 275.09 and 157.94 is: 218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 275.09 = 157.94 : x
  2. Step 2: Convert to fraction form
    199.29/275.09 = 157.94/x
  3. Step 3: Cross multiply
    199.29x = 275.09 × 157.94
  4. Step 4: Simplify right side
    199.29x = 43,447.71
  5. Step 5: Solve for x
    x = 43,447.71/199.29
  6. Step 6: Final answer
    x = 218.01

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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.