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Finding the Fourth Proportional to 455.22, 628.19 and 280.56

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Solution

The fourth proportional to 455.22, 628.19 and 280.56 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.22 : 628.19 = 280.56 : x
  2. Step 2: Convert to fraction form
    455.22/628.19 = 280.56/x
  3. Step 3: Cross multiply
    455.22x = 628.19 × 280.56
  4. Step 4: Simplify right side
    455.22x = 176,246.99
  5. Step 5: Solve for x
    x = 176,246.99/455.22
  6. Step 6: Final answer
    x = 387.17

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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.