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Finding the Fourth Proportional to 184.22, 253.71 and 142.71

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Solution

The fourth proportional to 184.22, 253.71 and 142.71 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.22 : 253.71 = 142.71 : x
  2. Step 2: Convert to fraction form
    184.22/253.71 = 142.71/x
  3. Step 3: Cross multiply
    184.22x = 253.71 × 142.71
  4. Step 4: Simplify right side
    184.22x = 36,207.03
  5. Step 5: Solve for x
    x = 36,207.03/184.22
  6. Step 6: Final answer
    x = 196.54

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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.