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Finding the Fourth Proportional to 411, 616.50 and 154.50

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Solution

The fourth proportional to 411, 616.50 and 154.50 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 616.50 = 154.50 : x
  2. Step 2: Convert to fraction form
    411/616.50 = 154.50/x
  3. Step 3: Cross multiply
    411x = 616.50 × 154.50
  4. Step 4: Simplify right side
    411x = 95,249.83
  5. Step 5: Solve for x
    x = 95,249.83/411
  6. Step 6: Final answer
    x = 231.75

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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.