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Finding the Fourth Proportional to 155.84, 234.04 and 134.20

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Solution

The fourth proportional to 155.84, 234.04 and 134.20 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 234.04 = 134.20 : x
  2. Step 2: Convert to fraction form
    155.84/234.04 = 134.20/x
  3. Step 3: Cross multiply
    155.84x = 234.04 × 134.20
  4. Step 4: Simplify right side
    155.84x = 31,408.17
  5. Step 5: Solve for x
    x = 31,408.17/155.84
  6. Step 6: Final answer
    x = 201.54

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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.