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Finding the Fourth Proportional to 190.84, 284.96 and 158.44

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Solution

The fourth proportional to 190.84, 284.96 and 158.44 is: 236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 284.96 = 158.44 : x
  2. Step 2: Convert to fraction form
    190.84/284.96 = 158.44/x
  3. Step 3: Cross multiply
    190.84x = 284.96 × 158.44
  4. Step 4: Simplify right side
    190.84x = 45,149.06
  5. Step 5: Solve for x
    x = 45,149.06/190.84
  6. Step 6: Final answer
    x = 236.58

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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.