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Finding the Fourth Proportional to 411.39, 616.35 and 343.35

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Solution

The fourth proportional to 411.39, 616.35 and 343.35 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 616.35 = 343.35 : x
  2. Step 2: Convert to fraction form
    411.39/616.35 = 343.35/x
  3. Step 3: Cross multiply
    411.39x = 616.35 × 343.35
  4. Step 4: Simplify right side
    411.39x = 211,623.77
  5. Step 5: Solve for x
    x = 211,623.77/411.39
  6. Step 6: Final answer
    x = 514.41

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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.