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Finding the Fourth Proportional to 190.89, 285.51 and 170.47

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Solution

The fourth proportional to 190.89, 285.51 and 170.47 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 285.51 = 170.47 : x
  2. Step 2: Convert to fraction form
    190.89/285.51 = 170.47/x
  3. Step 3: Cross multiply
    190.89x = 285.51 × 170.47
  4. Step 4: Simplify right side
    190.89x = 48,670.04
  5. Step 5: Solve for x
    x = 48,670.04/190.89
  6. Step 6: Final answer
    x = 254.96

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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.