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Finding the Fourth Proportional to 119.72, 164.98 and 103.28

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Solution

The fourth proportional to 119.72, 164.98 and 103.28 is: 142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 164.98 = 103.28 : x
  2. Step 2: Convert to fraction form
    119.72/164.98 = 103.28/x
  3. Step 3: Cross multiply
    119.72x = 164.98 × 103.28
  4. Step 4: Simplify right side
    119.72x = 17,039.13
  5. Step 5: Solve for x
    x = 17,039.13/119.72
  6. Step 6: Final answer
    x = 142.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.