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Finding the Fourth Proportional to 331.35, 455.84 and 286.76

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Solution

The fourth proportional to 331.35, 455.84 and 286.76 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.35 : 455.84 = 286.76 : x
  2. Step 2: Convert to fraction form
    331.35/455.84 = 286.76/x
  3. Step 3: Cross multiply
    331.35x = 455.84 × 286.76
  4. Step 4: Simplify right side
    331.35x = 130,714.09
  5. Step 5: Solve for x
    x = 130,714.09/331.35
  6. Step 6: Final answer
    x = 394.49

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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.