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Finding the Fourth Proportional to 223.79, 335.78 and 142.71

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Solution

The fourth proportional to 223.79, 335.78 and 142.71 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.79 : 335.78 = 142.71 : x
  2. Step 2: Convert to fraction form
    223.79/335.78 = 142.71/x
  3. Step 3: Cross multiply
    223.79x = 335.78 × 142.71
  4. Step 4: Simplify right side
    223.79x = 47,918.45
  5. Step 5: Solve for x
    x = 47,918.45/223.79
  6. Step 6: Final answer
    x = 214.13

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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.