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Finding the Fourth Proportional to 214.47, 321.39 and 146.07

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Solution

The fourth proportional to 214.47, 321.39 and 146.07 is: 218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 321.39 = 146.07 : x
  2. Step 2: Convert to fraction form
    214.47/321.39 = 146.07/x
  3. Step 3: Cross multiply
    214.47x = 321.39 × 146.07
  4. Step 4: Simplify right side
    214.47x = 46,945.44
  5. Step 5: Solve for x
    x = 46,945.44/214.47
  6. Step 6: Final answer
    x = 218.89

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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.