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Finding the Fourth Proportional to 296.44, 443.40 and 223.60

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Solution

The fourth proportional to 296.44, 443.40 and 223.60 is: 334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 443.40 = 223.60 : x
  2. Step 2: Convert to fraction form
    296.44/443.40 = 223.60/x
  3. Step 3: Cross multiply
    296.44x = 443.40 × 223.60
  4. Step 4: Simplify right side
    296.44x = 99,144.24
  5. Step 5: Solve for x
    x = 99,144.24/296.44
  6. Step 6: Final answer
    x = 334.45

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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.