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Finding the Fourth Proportional to 411.80, 620.13 and 358.34

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Solution

The fourth proportional to 411.80, 620.13 and 358.34 is: 539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 620.13 = 358.34 : x
  2. Step 2: Convert to fraction form
    411.80/620.13 = 358.34/x
  3. Step 3: Cross multiply
    411.80x = 620.13 × 358.34
  4. Step 4: Simplify right side
    411.80x = 222,215.63
  5. Step 5: Solve for x
    x = 222,215.63/411.80
  6. Step 6: Final answer
    x = 539.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.