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Finding the Fourth Proportional to 155.98, 234.26 and 134.06

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Solution

The fourth proportional to 155.98, 234.26 and 134.06 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.98 : 234.26 = 134.06 : x
  2. Step 2: Convert to fraction form
    155.98/234.26 = 134.06/x
  3. Step 3: Cross multiply
    155.98x = 234.26 × 134.06
  4. Step 4: Simplify right side
    155.98x = 31,404.90
  5. Step 5: Solve for x
    x = 31,404.90/155.98
  6. Step 6: Final answer
    x = 201.34

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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.