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Finding the Fourth Proportional to 190.36, 284.82 and 177.13

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Solution

The fourth proportional to 190.36, 284.82 and 177.13 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 284.82 = 177.13 : x
  2. Step 2: Convert to fraction form
    190.36/284.82 = 177.13/x
  3. Step 3: Cross multiply
    190.36x = 284.82 × 177.13
  4. Step 4: Simplify right side
    190.36x = 50,450.17
  5. Step 5: Solve for x
    x = 50,450.17/190.36
  6. Step 6: Final answer
    x = 265.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.