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Finding the Fourth Proportional to 262.88, 362.80 and 157.96

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Solution

The fourth proportional to 262.88, 362.80 and 157.96 is: 218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 362.80 = 157.96 : x
  2. Step 2: Convert to fraction form
    262.88/362.80 = 157.96/x
  3. Step 3: Cross multiply
    262.88x = 362.80 × 157.96
  4. Step 4: Simplify right side
    262.88x = 57,308.54
  5. Step 5: Solve for x
    x = 57,308.54/262.88
  6. Step 6: Final answer
    x = 218.00

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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.