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Finding the Fourth Proportional to 214.09, 320.73 and 145.42

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Solution

The fourth proportional to 214.09, 320.73 and 145.42 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.09 : 320.73 = 145.42 : x
  2. Step 2: Convert to fraction form
    214.09/320.73 = 145.42/x
  3. Step 3: Cross multiply
    214.09x = 320.73 × 145.42
  4. Step 4: Simplify right side
    214.09x = 46,640.56
  5. Step 5: Solve for x
    x = 46,640.56/214.09
  6. Step 6: Final answer
    x = 217.85

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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.