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Finding the Fourth Proportional to 164.72, 227.36 and 99.28

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Solution

The fourth proportional to 164.72, 227.36 and 99.28 is: 137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.72 : 227.36 = 99.28 : x
  2. Step 2: Convert to fraction form
    164.72/227.36 = 99.28/x
  3. Step 3: Cross multiply
    164.72x = 227.36 × 99.28
  4. Step 4: Simplify right side
    164.72x = 22,572.30
  5. Step 5: Solve for x
    x = 22,572.30/164.72
  6. Step 6: Final answer
    x = 137.03

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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.