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Finding the Fourth Proportional to 214.49, 321.80 and 106.29

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Solution

The fourth proportional to 214.49, 321.80 and 106.29 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 321.80 = 106.29 : x
  2. Step 2: Convert to fraction form
    214.49/321.80 = 106.29/x
  3. Step 3: Cross multiply
    214.49x = 321.80 × 106.29
  4. Step 4: Simplify right side
    214.49x = 34,203.59
  5. Step 5: Solve for x
    x = 34,203.59/214.49
  6. Step 6: Final answer
    x = 159.47

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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.