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Finding the Fourth Proportional to 155.72, 234.73 and 134.22

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Solution

The fourth proportional to 155.72, 234.73 and 134.22 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 234.73 = 134.22 : x
  2. Step 2: Convert to fraction form
    155.72/234.73 = 134.22/x
  3. Step 3: Cross multiply
    155.72x = 234.73 × 134.22
  4. Step 4: Simplify right side
    155.72x = 31,506.73
  5. Step 5: Solve for x
    x = 31,506.73/155.72
  6. Step 6: Final answer
    x = 202.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.