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Finding the Fourth Proportional to 157.57, 236.62 and 142.23

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Solution

The fourth proportional to 157.57, 236.62 and 142.23 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 236.62 = 142.23 : x
  2. Step 2: Convert to fraction form
    157.57/236.62 = 142.23/x
  3. Step 3: Cross multiply
    157.57x = 236.62 × 142.23
  4. Step 4: Simplify right side
    157.57x = 33,654.86
  5. Step 5: Solve for x
    x = 33,654.86/157.57
  6. Step 6: Final answer
    x = 213.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.