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Finding the Fourth Proportional to 443.28, 611.28 and 332.76

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Solution

The fourth proportional to 443.28, 611.28 and 332.76 is: 458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.28 : 611.28 = 332.76 : x
  2. Step 2: Convert to fraction form
    443.28/611.28 = 332.76/x
  3. Step 3: Cross multiply
    443.28x = 611.28 × 332.76
  4. Step 4: Simplify right side
    443.28x = 203,409.53
  5. Step 5: Solve for x
    x = 203,409.53/443.28
  6. Step 6: Final answer
    x = 458.87

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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.