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Finding the Fourth Proportional to 155.03, 231.39 and 137.75

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Solution

The fourth proportional to 155.03, 231.39 and 137.75 is: 205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.03 : 231.39 = 137.75 : x
  2. Step 2: Convert to fraction form
    155.03/231.39 = 137.75/x
  3. Step 3: Cross multiply
    155.03x = 231.39 × 137.75
  4. Step 4: Simplify right side
    155.03x = 31,872.82
  5. Step 5: Solve for x
    x = 31,872.82/155.03
  6. Step 6: Final answer
    x = 205.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.