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Finding the Fourth Proportional to 323.31, 487.41 and 302.43

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Solution

The fourth proportional to 323.31, 487.41 and 302.43 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.31 : 487.41 = 302.43 : x
  2. Step 2: Convert to fraction form
    323.31/487.41 = 302.43/x
  3. Step 3: Cross multiply
    323.31x = 487.41 × 302.43
  4. Step 4: Simplify right side
    323.31x = 147,407.41
  5. Step 5: Solve for x
    x = 147,407.41/323.31
  6. Step 6: Final answer
    x = 455.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.