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Finding the Fourth Proportional to 164.82, 248.64 and 147

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Solution

The fourth proportional to 164.82, 248.64 and 147 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 248.64 = 147 : x
  2. Step 2: Convert to fraction form
    164.82/248.64 = 147/x
  3. Step 3: Cross multiply
    164.82x = 248.64 × 147
  4. Step 4: Simplify right side
    164.82x = 36,550.08
  5. Step 5: Solve for x
    x = 36,550.08/164.82
  6. Step 6: Final answer
    x = 221.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.