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Finding the Fourth Proportional to 190.24, 260.82 and 186.78

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Solution

The fourth proportional to 190.24, 260.82 and 186.78 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 260.82 = 186.78 : x
  2. Step 2: Convert to fraction form
    190.24/260.82 = 186.78/x
  3. Step 3: Cross multiply
    190.24x = 260.82 × 186.78
  4. Step 4: Simplify right side
    190.24x = 48,717.08
  5. Step 5: Solve for x
    x = 48,717.08/190.24
  6. Step 6: Final answer
    x = 256.08

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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.