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Finding the Fourth Proportional to 455.67, 627.80 and 300.15

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Solution

The fourth proportional to 455.67, 627.80 and 300.15 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.67 : 627.80 = 300.15 : x
  2. Step 2: Convert to fraction form
    455.67/627.80 = 300.15/x
  3. Step 3: Cross multiply
    455.67x = 627.80 × 300.15
  4. Step 4: Simplify right side
    455.67x = 188,434.17
  5. Step 5: Solve for x
    x = 188,434.17/455.67
  6. Step 6: Final answer
    x = 413.53

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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.