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Finding the Fourth Proportional to 455.56, 684.56 and 250.28

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Solution

The fourth proportional to 455.56, 684.56 and 250.28 is: 376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 684.56 = 250.28 : x
  2. Step 2: Convert to fraction form
    455.56/684.56 = 250.28/x
  3. Step 3: Cross multiply
    455.56x = 684.56 × 250.28
  4. Step 4: Simplify right side
    455.56x = 171,331.68
  5. Step 5: Solve for x
    x = 171,331.68/455.56
  6. Step 6: Final answer
    x = 376.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.