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Finding the Fourth Proportional to 184.49, 253.89 and 142.88

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Solution

The fourth proportional to 184.49, 253.89 and 142.88 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.49 : 253.89 = 142.88 : x
  2. Step 2: Convert to fraction form
    184.49/253.89 = 142.88/x
  3. Step 3: Cross multiply
    184.49x = 253.89 × 142.88
  4. Step 4: Simplify right side
    184.49x = 36,275.80
  5. Step 5: Solve for x
    x = 36,275.80/184.49
  6. Step 6: Final answer
    x = 196.63

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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.