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Finding the Fourth Proportional to 294.08, 443.60 and 276.32

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Solution

The fourth proportional to 294.08, 443.60 and 276.32 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.08 : 443.60 = 276.32 : x
  2. Step 2: Convert to fraction form
    294.08/443.60 = 276.32/x
  3. Step 3: Cross multiply
    294.08x = 443.60 × 276.32
  4. Step 4: Simplify right side
    294.08x = 122,575.55
  5. Step 5: Solve for x
    x = 122,575.55/294.08
  6. Step 6: Final answer
    x = 416.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.