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Finding the Fourth Proportional to 331.90, 458.34 and 312.33

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Solution

The fourth proportional to 331.90, 458.34 and 312.33 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 458.34 = 312.33 : x
  2. Step 2: Convert to fraction form
    331.90/458.34 = 312.33/x
  3. Step 3: Cross multiply
    331.90x = 458.34 × 312.33
  4. Step 4: Simplify right side
    331.90x = 143,153.33
  5. Step 5: Solve for x
    x = 143,153.33/331.90
  6. Step 6: Final answer
    x = 431.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.