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Finding the Fourth Proportional to 190.78, 263.17 and 113.15

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Solution

The fourth proportional to 190.78, 263.17 and 113.15 is: 156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.78 : 263.17 = 113.15 : x
  2. Step 2: Convert to fraction form
    190.78/263.17 = 113.15/x
  3. Step 3: Cross multiply
    190.78x = 263.17 × 113.15
  4. Step 4: Simplify right side
    190.78x = 29,777.69
  5. Step 5: Solve for x
    x = 29,777.69/190.78
  6. Step 6: Final answer
    x = 156.08

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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.