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Finding the Fourth Proportional to 323.21, 483.93 and 225.47

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Solution

The fourth proportional to 323.21, 483.93 and 225.47 is: 337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.21 : 483.93 = 225.47 : x
  2. Step 2: Convert to fraction form
    323.21/483.93 = 225.47/x
  3. Step 3: Cross multiply
    323.21x = 483.93 × 225.47
  4. Step 4: Simplify right side
    323.21x = 109,109.28
  5. Step 5: Solve for x
    x = 109,109.28/323.21
  6. Step 6: Final answer
    x = 337.59

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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.