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Finding the Fourth Proportional to 214.31, 321.55 and 106.18

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Solution

The fourth proportional to 214.31, 321.55 and 106.18 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 321.55 = 106.18 : x
  2. Step 2: Convert to fraction form
    214.31/321.55 = 106.18/x
  3. Step 3: Cross multiply
    214.31x = 321.55 × 106.18
  4. Step 4: Simplify right side
    214.31x = 34,141.71
  5. Step 5: Solve for x
    x = 34,141.71/214.31
  6. Step 6: Final answer
    x = 159.31

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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.