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Finding the Fourth Proportional to 296.82, 443.07 and 276.30

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Solution

The fourth proportional to 296.82, 443.07 and 276.30 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.82 : 443.07 = 276.30 : x
  2. Step 2: Convert to fraction form
    296.82/443.07 = 276.30/x
  3. Step 3: Cross multiply
    296.82x = 443.07 × 276.30
  4. Step 4: Simplify right side
    296.82x = 122,420.24
  5. Step 5: Solve for x
    x = 122,420.24/296.82
  6. Step 6: Final answer
    x = 412.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.