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Finding the Fourth Proportional to 455.82, 629.00 and 256.68

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Solution

The fourth proportional to 455.82, 629.00 and 256.68 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 629.00 = 256.68 : x
  2. Step 2: Convert to fraction form
    455.82/629.00 = 256.68/x
  3. Step 3: Cross multiply
    455.82x = 629.00 × 256.68
  4. Step 4: Simplify right side
    455.82x = 161,450.44
  5. Step 5: Solve for x
    x = 161,450.44/455.82
  6. Step 6: Final answer
    x = 354.20

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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.