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Finding the Fourth Proportional to 155.44, 234.13 and 138.52

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Solution

The fourth proportional to 155.44, 234.13 and 138.52 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 234.13 = 138.52 : x
  2. Step 2: Convert to fraction form
    155.44/234.13 = 138.52/x
  3. Step 3: Cross multiply
    155.44x = 234.13 × 138.52
  4. Step 4: Simplify right side
    155.44x = 32,431.69
  5. Step 5: Solve for x
    x = 32,431.69/155.44
  6. Step 6: Final answer
    x = 208.64

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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.