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Finding the Fourth Proportional to 190.18, 260.90 and 178.39

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Solution

The fourth proportional to 190.18, 260.90 and 178.39 is: 244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.18 : 260.90 = 178.39 : x
  2. Step 2: Convert to fraction form
    190.18/260.90 = 178.39/x
  3. Step 3: Cross multiply
    190.18x = 260.90 × 178.39
  4. Step 4: Simplify right side
    190.18x = 46,543.04
  5. Step 5: Solve for x
    x = 46,543.04/190.18
  6. Step 6: Final answer
    x = 244.73

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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.