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Finding the Fourth Proportional to 304.21, 455.62 and 213.31

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Solution

The fourth proportional to 304.21, 455.62 and 213.31 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 455.62 = 213.31 : x
  2. Step 2: Convert to fraction form
    304.21/455.62 = 213.31/x
  3. Step 3: Cross multiply
    304.21x = 455.62 × 213.31
  4. Step 4: Simplify right side
    304.21x = 97,188.14
  5. Step 5: Solve for x
    x = 97,188.14/304.21
  6. Step 6: Final answer
    x = 319.48

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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.