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Finding the Fourth Proportional to 199.51, 275.29 and 137.49

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Solution

The fourth proportional to 199.51, 275.29 and 137.49 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 275.29 = 137.49 : x
  2. Step 2: Convert to fraction form
    199.51/275.29 = 137.49/x
  3. Step 3: Cross multiply
    199.51x = 275.29 × 137.49
  4. Step 4: Simplify right side
    199.51x = 37,849.62
  5. Step 5: Solve for x
    x = 37,849.62/199.51
  6. Step 6: Final answer
    x = 189.72

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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.