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Finding the Fourth Proportional to 164.81, 247.09 and 142.25

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Solution

The fourth proportional to 164.81, 247.09 and 142.25 is: 213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 247.09 = 142.25 : x
  2. Step 2: Convert to fraction form
    164.81/247.09 = 142.25/x
  3. Step 3: Cross multiply
    164.81x = 247.09 × 142.25
  4. Step 4: Simplify right side
    164.81x = 35,148.55
  5. Step 5: Solve for x
    x = 35,148.55/164.81
  6. Step 6: Final answer
    x = 213.27

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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.