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Finding the Fourth Proportional to 454.78, 627.32 and 280

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Solution

The fourth proportional to 454.78, 627.32 and 280 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 627.32 = 280 : x
  2. Step 2: Convert to fraction form
    454.78/627.32 = 280/x
  3. Step 3: Cross multiply
    454.78x = 627.32 × 280
  4. Step 4: Simplify right side
    454.78x = 175,649.60
  5. Step 5: Solve for x
    x = 175,649.60/454.78
  6. Step 6: Final answer
    x = 386.23

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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.