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Finding the Fourth Proportional to 190.55, 284.37 and 170.05

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Solution

The fourth proportional to 190.55, 284.37 and 170.05 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.55 : 284.37 = 170.05 : x
  2. Step 2: Convert to fraction form
    190.55/284.37 = 170.05/x
  3. Step 3: Cross multiply
    190.55x = 284.37 × 170.05
  4. Step 4: Simplify right side
    190.55x = 48,357.12
  5. Step 5: Solve for x
    x = 48,357.12/190.55
  6. Step 6: Final answer
    x = 253.78

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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.