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Finding the Fourth Proportional to 157.78, 217.72 and 92.27

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Solution

The fourth proportional to 157.78, 217.72 and 92.27 is: 127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 217.72 = 92.27 : x
  2. Step 2: Convert to fraction form
    157.78/217.72 = 92.27/x
  3. Step 3: Cross multiply
    157.78x = 217.72 × 92.27
  4. Step 4: Simplify right side
    157.78x = 20,089.02
  5. Step 5: Solve for x
    x = 20,089.02/157.78
  6. Step 6: Final answer
    x = 127.32

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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.