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Finding the Fourth Proportional to 454.20, 627.32 and 361.24

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Solution

The fourth proportional to 454.20, 627.32 and 361.24 is: 498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 627.32 = 361.24 : x
  2. Step 2: Convert to fraction form
    454.20/627.32 = 361.24/x
  3. Step 3: Cross multiply
    454.20x = 627.32 × 361.24
  4. Step 4: Simplify right side
    454.20x = 226,613.08
  5. Step 5: Solve for x
    x = 226,613.08/454.20
  6. Step 6: Final answer
    x = 498.93

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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.