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Finding the Fourth Proportional to 304.28, 420.46 and 216.80

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Solution

The fourth proportional to 304.28, 420.46 and 216.80 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 420.46 = 216.80 : x
  2. Step 2: Convert to fraction form
    304.28/420.46 = 216.80/x
  3. Step 3: Cross multiply
    304.28x = 420.46 × 216.80
  4. Step 4: Simplify right side
    304.28x = 91,155.73
  5. Step 5: Solve for x
    x = 91,155.73/304.28
  6. Step 6: Final answer
    x = 299.58

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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.