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Finding the Fourth Proportional to 320.64, 443.30 and 223.12

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Solution

The fourth proportional to 320.64, 443.30 and 223.12 is: 308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 443.30 = 223.12 : x
  2. Step 2: Convert to fraction form
    320.64/443.30 = 223.12/x
  3. Step 3: Cross multiply
    320.64x = 443.30 × 223.12
  4. Step 4: Simplify right side
    320.64x = 98,909.10
  5. Step 5: Solve for x
    x = 98,909.10/320.64
  6. Step 6: Final answer
    x = 308.47

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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.