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Finding the Fourth Proportional to 455.20, 628.72 and 362.26

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Solution

The fourth proportional to 455.20, 628.72 and 362.26 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 628.72 = 362.26 : x
  2. Step 2: Convert to fraction form
    455.20/628.72 = 362.26/x
  3. Step 3: Cross multiply
    455.20x = 628.72 × 362.26
  4. Step 4: Simplify right side
    455.20x = 227,760.11
  5. Step 5: Solve for x
    x = 227,760.11/455.20
  6. Step 6: Final answer
    x = 500.35

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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.