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Finding the Fourth Proportional to 157.79, 218.24 and 141.41

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Solution

The fourth proportional to 157.79, 218.24 and 141.41 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.79 : 218.24 = 141.41 : x
  2. Step 2: Convert to fraction form
    157.79/218.24 = 141.41/x
  3. Step 3: Cross multiply
    157.79x = 218.24 × 141.41
  4. Step 4: Simplify right side
    157.79x = 30,859.52
  5. Step 5: Solve for x
    x = 30,859.52/157.79
  6. Step 6: Final answer
    x = 195.58

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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.