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Finding the Fourth Proportional to 455.28, 682.87 and 162.77

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Solution

The fourth proportional to 455.28, 682.87 and 162.77 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 682.87 = 162.77 : x
  2. Step 2: Convert to fraction form
    455.28/682.87 = 162.77/x
  3. Step 3: Cross multiply
    455.28x = 682.87 × 162.77
  4. Step 4: Simplify right side
    455.28x = 111,150.75
  5. Step 5: Solve for x
    x = 111,150.75/455.28
  6. Step 6: Final answer
    x = 244.14

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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.