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Finding the Fourth Proportional to 283.12, 424.31 and 214.43

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Solution

The fourth proportional to 283.12, 424.31 and 214.43 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.12 : 424.31 = 214.43 : x
  2. Step 2: Convert to fraction form
    283.12/424.31 = 214.43/x
  3. Step 3: Cross multiply
    283.12x = 424.31 × 214.43
  4. Step 4: Simplify right side
    283.12x = 90,983.72
  5. Step 5: Solve for x
    x = 90,983.72/283.12
  6. Step 6: Final answer
    x = 321.37

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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.