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Finding the Fourth Proportional to 304.37, 420.11 and 199.27

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Solution

The fourth proportional to 304.37, 420.11 and 199.27 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.37 : 420.11 = 199.27 : x
  2. Step 2: Convert to fraction form
    304.37/420.11 = 199.27/x
  3. Step 3: Cross multiply
    304.37x = 420.11 × 199.27
  4. Step 4: Simplify right side
    304.37x = 83,715.82
  5. Step 5: Solve for x
    x = 83,715.82/304.37
  6. Step 6: Final answer
    x = 275.05

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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.