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Finding the Fourth Proportional to 304.21, 456.09 and 212.65

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Solution

The fourth proportional to 304.21, 456.09 and 212.65 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 456.09 = 212.65 : x
  2. Step 2: Convert to fraction form
    304.21/456.09 = 212.65/x
  3. Step 3: Cross multiply
    304.21x = 456.09 × 212.65
  4. Step 4: Simplify right side
    304.21x = 96,987.54
  5. Step 5: Solve for x
    x = 96,987.54/304.21
  6. Step 6: Final answer
    x = 318.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.