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Finding the Fourth Proportional to 155.50, 234.67 and 154.56

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Solution

The fourth proportional to 155.50, 234.67 and 154.56 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.50 : 234.67 = 154.56 : x
  2. Step 2: Convert to fraction form
    155.50/234.67 = 154.56/x
  3. Step 3: Cross multiply
    155.50x = 234.67 × 154.56
  4. Step 4: Simplify right side
    155.50x = 36,270.60
  5. Step 5: Solve for x
    x = 36,270.60/155.50
  6. Step 6: Final answer
    x = 233.25

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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.