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Finding the Fourth Proportional to 262.96, 393.64 and 166.48

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Solution

The fourth proportional to 262.96, 393.64 and 166.48 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 393.64 = 166.48 : x
  2. Step 2: Convert to fraction form
    262.96/393.64 = 166.48/x
  3. Step 3: Cross multiply
    262.96x = 393.64 × 166.48
  4. Step 4: Simplify right side
    262.96x = 65,533.19
  5. Step 5: Solve for x
    x = 65,533.19/262.96
  6. Step 6: Final answer
    x = 249.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.