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Finding the Fourth Proportional to 165.72, 250.04 and 164.36

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Solution

The fourth proportional to 165.72, 250.04 and 164.36 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 250.04 = 164.36 : x
  2. Step 2: Convert to fraction form
    165.72/250.04 = 164.36/x
  3. Step 3: Cross multiply
    165.72x = 250.04 × 164.36
  4. Step 4: Simplify right side
    165.72x = 41,097.61
  5. Step 5: Solve for x
    x = 41,097.61/165.72
  6. Step 6: Final answer
    x = 247.99

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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.