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Finding the Fourth Proportional to 190.97, 284.95 and 179.36

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Solution

The fourth proportional to 190.97, 284.95 and 179.36 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.97 : 284.95 = 179.36 : x
  2. Step 2: Convert to fraction form
    190.97/284.95 = 179.36/x
  3. Step 3: Cross multiply
    190.97x = 284.95 × 179.36
  4. Step 4: Simplify right side
    190.97x = 51,108.63
  5. Step 5: Solve for x
    x = 51,108.63/190.97
  6. Step 6: Final answer
    x = 267.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.