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Finding the Fourth Proportional to 455.15, 627.86 and 299.63

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Solution

The fourth proportional to 455.15, 627.86 and 299.63 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.15 : 627.86 = 299.63 : x
  2. Step 2: Convert to fraction form
    455.15/627.86 = 299.63/x
  3. Step 3: Cross multiply
    455.15x = 627.86 × 299.63
  4. Step 4: Simplify right side
    455.15x = 188,123.30
  5. Step 5: Solve for x
    x = 188,123.30/455.15
  6. Step 6: Final answer
    x = 413.33

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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.