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Finding the Fourth Proportional to 214.56, 321 and 142.56

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Solution

The fourth proportional to 214.56, 321 and 142.56 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 321 = 142.56 : x
  2. Step 2: Convert to fraction form
    214.56/321 = 142.56/x
  3. Step 3: Cross multiply
    214.56x = 321 × 142.56
  4. Step 4: Simplify right side
    214.56x = 45,761.76
  5. Step 5: Solve for x
    x = 45,761.76/214.56
  6. Step 6: Final answer
    x = 213.28

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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.