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Finding the Fourth Proportional to 311.68, 465.12 and 280.96

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Solution

The fourth proportional to 311.68, 465.12 and 280.96 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 465.12 = 280.96 : x
  2. Step 2: Convert to fraction form
    311.68/465.12 = 280.96/x
  3. Step 3: Cross multiply
    311.68x = 465.12 × 280.96
  4. Step 4: Simplify right side
    311.68x = 130,680.12
  5. Step 5: Solve for x
    x = 130,680.12/311.68
  6. Step 6: Final answer
    x = 419.28

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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.