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Finding the Fourth Proportional to 411, 613.62 and 350.16

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Solution

The fourth proportional to 411, 613.62 and 350.16 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 613.62 = 350.16 : x
  2. Step 2: Convert to fraction form
    411/613.62 = 350.16/x
  3. Step 3: Cross multiply
    411x = 613.62 × 350.16
  4. Step 4: Simplify right side
    411x = 214,865.18
  5. Step 5: Solve for x
    x = 214,865.18/411
  6. Step 6: Final answer
    x = 522.79

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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.