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Finding the Fourth Proportional to 223.96, 309.17 and 214.17

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Solution

The fourth proportional to 223.96, 309.17 and 214.17 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 309.17 = 214.17 : x
  2. Step 2: Convert to fraction form
    223.96/309.17 = 214.17/x
  3. Step 3: Cross multiply
    223.96x = 309.17 × 214.17
  4. Step 4: Simplify right side
    223.96x = 66,213.87
  5. Step 5: Solve for x
    x = 66,213.87/223.96
  6. Step 6: Final answer
    x = 295.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.