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Finding the Fourth Proportional to 190.16, 260.82 and 185.36

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Solution

The fourth proportional to 190.16, 260.82 and 185.36 is: 254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 260.82 = 185.36 : x
  2. Step 2: Convert to fraction form
    190.16/260.82 = 185.36/x
  3. Step 3: Cross multiply
    190.16x = 260.82 × 185.36
  4. Step 4: Simplify right side
    190.16x = 48,345.60
  5. Step 5: Solve for x
    x = 48,345.60/190.16
  6. Step 6: Final answer
    x = 254.24

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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.