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Finding the Fourth Proportional to 411.20, 616.10 and 359.27

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Solution

The fourth proportional to 411.20, 616.10 and 359.27 is: 538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 616.10 = 359.27 : x
  2. Step 2: Convert to fraction form
    411.20/616.10 = 359.27/x
  3. Step 3: Cross multiply
    411.20x = 616.10 × 359.27
  4. Step 4: Simplify right side
    411.20x = 221,341.37
  5. Step 5: Solve for x
    x = 221,341.37/411.20
  6. Step 6: Final answer
    x = 538.29

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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.