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Finding the Fourth Proportional to 164.82, 227.36 and 99.30

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Solution

The fourth proportional to 164.82, 227.36 and 99.30 is: 136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 227.36 = 99.30 : x
  2. Step 2: Convert to fraction form
    164.82/227.36 = 99.30/x
  3. Step 3: Cross multiply
    164.82x = 227.36 × 99.30
  4. Step 4: Simplify right side
    164.82x = 22,576.35
  5. Step 5: Solve for x
    x = 22,576.35/164.82
  6. Step 6: Final answer
    x = 136.98

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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.