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Finding the Fourth Proportional to 189.93, 286.02 and 170.90

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Solution

The fourth proportional to 189.93, 286.02 and 170.90 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 286.02 = 170.90 : x
  2. Step 2: Convert to fraction form
    189.93/286.02 = 170.90/x
  3. Step 3: Cross multiply
    189.93x = 286.02 × 170.90
  4. Step 4: Simplify right side
    189.93x = 48,880.82
  5. Step 5: Solve for x
    x = 48,880.82/189.93
  6. Step 6: Final answer
    x = 257.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.