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Finding the Fourth Proportional to 199.28, 275.12 and 150.37

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Solution

The fourth proportional to 199.28, 275.12 and 150.37 is: 207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.28 : 275.12 = 150.37 : x
  2. Step 2: Convert to fraction form
    199.28/275.12 = 150.37/x
  3. Step 3: Cross multiply
    199.28x = 275.12 × 150.37
  4. Step 4: Simplify right side
    199.28x = 41,369.79
  5. Step 5: Solve for x
    x = 41,369.79/199.28
  6. Step 6: Final answer
    x = 207.60

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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.