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Finding the Fourth Proportional to 165.71, 250.45 and 163.89

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Solution

The fourth proportional to 165.71, 250.45 and 163.89 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.71 : 250.45 = 163.89 : x
  2. Step 2: Convert to fraction form
    165.71/250.45 = 163.89/x
  3. Step 3: Cross multiply
    165.71x = 250.45 × 163.89
  4. Step 4: Simplify right side
    165.71x = 41,045.84
  5. Step 5: Solve for x
    x = 41,045.84/165.71
  6. Step 6: Final answer
    x = 247.69

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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.