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Finding the Fourth Proportional to 214.65, 321.96 and 146.31

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Solution

The fourth proportional to 214.65, 321.96 and 146.31 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 321.96 = 146.31 : x
  2. Step 2: Convert to fraction form
    214.65/321.96 = 146.31/x
  3. Step 3: Cross multiply
    214.65x = 321.96 × 146.31
  4. Step 4: Simplify right side
    214.65x = 47,105.97
  5. Step 5: Solve for x
    x = 47,105.97/214.65
  6. Step 6: Final answer
    x = 219.45

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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.