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Finding the Fourth Proportional to 455.65, 627.38 and 356.46

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Solution

The fourth proportional to 455.65, 627.38 and 356.46 is: 490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 627.38 = 356.46 : x
  2. Step 2: Convert to fraction form
    455.65/627.38 = 356.46/x
  3. Step 3: Cross multiply
    455.65x = 627.38 × 356.46
  4. Step 4: Simplify right side
    455.65x = 223,635.87
  5. Step 5: Solve for x
    x = 223,635.87/455.65
  6. Step 6: Final answer
    x = 490.81

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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.