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Finding the Fourth Proportional to 331.66, 457.68 and 184.31

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Solution

The fourth proportional to 331.66, 457.68 and 184.31 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.66 : 457.68 = 184.31 : x
  2. Step 2: Convert to fraction form
    331.66/457.68 = 184.31/x
  3. Step 3: Cross multiply
    331.66x = 457.68 × 184.31
  4. Step 4: Simplify right side
    331.66x = 84,355.12
  5. Step 5: Solve for x
    x = 84,355.12/331.66
  6. Step 6: Final answer
    x = 254.34

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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.