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Finding the Fourth Proportional to 455.36, 683.01 and 272.88

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Solution

The fourth proportional to 455.36, 683.01 and 272.88 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 683.01 = 272.88 : x
  2. Step 2: Convert to fraction form
    455.36/683.01 = 272.88/x
  3. Step 3: Cross multiply
    455.36x = 683.01 × 272.88
  4. Step 4: Simplify right side
    455.36x = 186,379.77
  5. Step 5: Solve for x
    x = 186,379.77/455.36
  6. Step 6: Final answer
    x = 409.31

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