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Finding the Fourth Proportional to 454.80, 627.63 and 275.40

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Solution

The fourth proportional to 454.80, 627.63 and 275.40 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.80 : 627.63 = 275.40 : x
  2. Step 2: Convert to fraction form
    454.80/627.63 = 275.40/x
  3. Step 3: Cross multiply
    454.80x = 627.63 × 275.40
  4. Step 4: Simplify right side
    454.80x = 172,849.30
  5. Step 5: Solve for x
    x = 172,849.30/454.80
  6. Step 6: Final answer
    x = 380.06

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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.