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Finding the Fourth Proportional to 323.07, 481.31 and 307.59

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Solution

The fourth proportional to 323.07, 481.31 and 307.59 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.07 : 481.31 = 307.59 : x
  2. Step 2: Convert to fraction form
    323.07/481.31 = 307.59/x
  3. Step 3: Cross multiply
    323.07x = 481.31 × 307.59
  4. Step 4: Simplify right side
    323.07x = 148,044.60
  5. Step 5: Solve for x
    x = 148,044.60/323.07
  6. Step 6: Final answer
    x = 458.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.