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Finding the Fourth Proportional to 304.40, 420.21 and 199.49

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Solution

The fourth proportional to 304.40, 420.21 and 199.49 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 420.21 = 199.49 : x
  2. Step 2: Convert to fraction form
    304.40/420.21 = 199.49/x
  3. Step 3: Cross multiply
    304.40x = 420.21 × 199.49
  4. Step 4: Simplify right side
    304.40x = 83,828.74
  5. Step 5: Solve for x
    x = 83,828.74/304.40
  6. Step 6: Final answer
    x = 275.39

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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.