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Finding the Fourth Proportional to 613, 919.50 and 180.15

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Solution

The fourth proportional to 613, 919.50 and 180.15 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 919.50 = 180.15 : x
  2. Step 2: Convert to fraction form
    613/919.50 = 180.15/x
  3. Step 3: Cross multiply
    613x = 919.50 × 180.15
  4. Step 4: Simplify right side
    613x = 165,647.93
  5. Step 5: Solve for x
    x = 165,647.93/613
  6. Step 6: Final answer
    x = 270.23

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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.