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Finding the Fourth Proportional to 450.10, 621.15 and 275.41

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Solution

The fourth proportional to 450.10, 621.15 and 275.41 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.10 : 621.15 = 275.41 : x
  2. Step 2: Convert to fraction form
    450.10/621.15 = 275.41/x
  3. Step 3: Cross multiply
    450.10x = 621.15 × 275.41
  4. Step 4: Simplify right side
    450.10x = 171,067.82
  5. Step 5: Solve for x
    x = 171,067.82/450.10
  6. Step 6: Final answer
    x = 380.07

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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.