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Finding the Fourth Proportional to 190.63, 284.04 and 170.19

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Solution

The fourth proportional to 190.63, 284.04 and 170.19 is: 253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.63 : 284.04 = 170.19 : x
  2. Step 2: Convert to fraction form
    190.63/284.04 = 170.19/x
  3. Step 3: Cross multiply
    190.63x = 284.04 × 170.19
  4. Step 4: Simplify right side
    190.63x = 48,340.48
  5. Step 5: Solve for x
    x = 48,340.48/190.63
  6. Step 6: Final answer
    x = 253.59

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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.