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Finding the Fourth Proportional to 214.79, 321.98 and 142.70

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Solution

The fourth proportional to 214.79, 321.98 and 142.70 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 321.98 = 142.70 : x
  2. Step 2: Convert to fraction form
    214.79/321.98 = 142.70/x
  3. Step 3: Cross multiply
    214.79x = 321.98 × 142.70
  4. Step 4: Simplify right side
    214.79x = 45,944.22
  5. Step 5: Solve for x
    x = 45,944.22/214.79
  6. Step 6: Final answer
    x = 213.91

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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.