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Finding the Fourth Proportional to 455.20, 627.44 and 366.88

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Solution

The fourth proportional to 455.20, 627.44 and 366.88 is: 505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 627.44 = 366.88 : x
  2. Step 2: Convert to fraction form
    455.20/627.44 = 366.88/x
  3. Step 3: Cross multiply
    455.20x = 627.44 × 366.88
  4. Step 4: Simplify right side
    455.20x = 230,195.19
  5. Step 5: Solve for x
    x = 230,195.19/455.20
  6. Step 6: Final answer
    x = 505.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.