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Finding the Fourth Proportional to 311.44, 469.01 and 284.30

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Solution

The fourth proportional to 311.44, 469.01 and 284.30 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 469.01 = 284.30 : x
  2. Step 2: Convert to fraction form
    311.44/469.01 = 284.30/x
  3. Step 3: Cross multiply
    311.44x = 469.01 × 284.30
  4. Step 4: Simplify right side
    311.44x = 133,339.54
  5. Step 5: Solve for x
    x = 133,339.54/311.44
  6. Step 6: Final answer
    x = 428.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.