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Finding the Fourth Proportional to 119.64, 164.43 and 102.36

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Solution

The fourth proportional to 119.64, 164.43 and 102.36 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 164.43 = 102.36 : x
  2. Step 2: Convert to fraction form
    119.64/164.43 = 102.36/x
  3. Step 3: Cross multiply
    119.64x = 164.43 × 102.36
  4. Step 4: Simplify right side
    119.64x = 16,831.05
  5. Step 5: Solve for x
    x = 16,831.05/119.64
  6. Step 6: Final answer
    x = 140.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.