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Finding the Fourth Proportional to 157.68, 218.70 and 151.20

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Solution

The fourth proportional to 157.68, 218.70 and 151.20 is: 209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 218.70 = 151.20 : x
  2. Step 2: Convert to fraction form
    157.68/218.70 = 151.20/x
  3. Step 3: Cross multiply
    157.68x = 218.70 × 151.20
  4. Step 4: Simplify right side
    157.68x = 33,067.44
  5. Step 5: Solve for x
    x = 33,067.44/157.68
  6. Step 6: Final answer
    x = 209.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.