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Finding the Fourth Proportional to 192.43, 264.76 and 157.33

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Solution

The fourth proportional to 192.43, 264.76 and 157.33 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.43 : 264.76 = 157.33 : x
  2. Step 2: Convert to fraction form
    192.43/264.76 = 157.33/x
  3. Step 3: Cross multiply
    192.43x = 264.76 × 157.33
  4. Step 4: Simplify right side
    192.43x = 41,654.69
  5. Step 5: Solve for x
    x = 41,654.69/192.43
  6. Step 6: Final answer
    x = 216.47

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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.