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Finding the Fourth Proportional to 185.05, 253.52 and 178.13

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Solution

The fourth proportional to 185.05, 253.52 and 178.13 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.05 : 253.52 = 178.13 : x
  2. Step 2: Convert to fraction form
    185.05/253.52 = 178.13/x
  3. Step 3: Cross multiply
    185.05x = 253.52 × 178.13
  4. Step 4: Simplify right side
    185.05x = 45,157.36
  5. Step 5: Solve for x
    x = 45,157.36/185.05
  6. Step 6: Final answer
    x = 244.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.