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Finding the Fourth Proportional to 165.01, 247.53 and 164.41

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Solution

The fourth proportional to 165.01, 247.53 and 164.41 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 247.53 = 164.41 : x
  2. Step 2: Convert to fraction form
    165.01/247.53 = 164.41/x
  3. Step 3: Cross multiply
    165.01x = 247.53 × 164.41
  4. Step 4: Simplify right side
    165.01x = 40,696.41
  5. Step 5: Solve for x
    x = 40,696.41/165.01
  6. Step 6: Final answer
    x = 246.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.