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Finding the Fourth Proportional to 190.59, 284.42 and 170.15

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Solution

The fourth proportional to 190.59, 284.42 and 170.15 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 284.42 = 170.15 : x
  2. Step 2: Convert to fraction form
    190.59/284.42 = 170.15/x
  3. Step 3: Cross multiply
    190.59x = 284.42 × 170.15
  4. Step 4: Simplify right side
    190.59x = 48,391.79
  5. Step 5: Solve for x
    x = 48,391.79/190.59
  6. Step 6: Final answer
    x = 253.91

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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.