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Finding the Fourth Proportional to 157.82, 218.00 and 121.43

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Solution

The fourth proportional to 157.82, 218.00 and 121.43 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 218.00 = 121.43 : x
  2. Step 2: Convert to fraction form
    157.82/218.00 = 121.43/x
  3. Step 3: Cross multiply
    157.82x = 218.00 × 121.43
  4. Step 4: Simplify right side
    157.82x = 26,471.13
  5. Step 5: Solve for x
    x = 26,471.13/157.82
  6. Step 6: Final answer
    x = 167.74

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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.