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Finding the Fourth Proportional to 190.36, 284.17 and 167.30

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Solution

The fourth proportional to 190.36, 284.17 and 167.30 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 284.17 = 167.30 : x
  2. Step 2: Convert to fraction form
    190.36/284.17 = 167.30/x
  3. Step 3: Cross multiply
    190.36x = 284.17 × 167.30
  4. Step 4: Simplify right side
    190.36x = 47,541.08
  5. Step 5: Solve for x
    x = 47,541.08/190.36
  6. Step 6: Final answer
    x = 249.74

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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.