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Finding the Fourth Proportional to 155.93, 234.09 and 154.40

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Solution

The fourth proportional to 155.93, 234.09 and 154.40 is: 231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.93 : 234.09 = 154.40 : x
  2. Step 2: Convert to fraction form
    155.93/234.09 = 154.40/x
  3. Step 3: Cross multiply
    155.93x = 234.09 × 154.40
  4. Step 4: Simplify right side
    155.93x = 36,143.50
  5. Step 5: Solve for x
    x = 36,143.50/155.93
  6. Step 6: Final answer
    x = 231.79

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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.