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Finding the Fourth Proportional to 454.86, 627.75 and 280.17

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Solution

The fourth proportional to 454.86, 627.75 and 280.17 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 627.75 = 280.17 : x
  2. Step 2: Convert to fraction form
    454.86/627.75 = 280.17/x
  3. Step 3: Cross multiply
    454.86x = 627.75 × 280.17
  4. Step 4: Simplify right side
    454.86x = 175,876.72
  5. Step 5: Solve for x
    x = 175,876.72/454.86
  6. Step 6: Final answer
    x = 386.66

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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.