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Finding the Fourth Proportional to 296.75, 443.80 and 264.49

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Solution

The fourth proportional to 296.75, 443.80 and 264.49 is: 395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 443.80 = 264.49 : x
  2. Step 2: Convert to fraction form
    296.75/443.80 = 264.49/x
  3. Step 3: Cross multiply
    296.75x = 443.80 × 264.49
  4. Step 4: Simplify right side
    296.75x = 117,380.66
  5. Step 5: Solve for x
    x = 117,380.66/296.75
  6. Step 6: Final answer
    x = 395.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.