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Finding the Fourth Proportional to 406.22, 606.03 and 347.76

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Solution

The fourth proportional to 406.22, 606.03 and 347.76 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.22 : 606.03 = 347.76 : x
  2. Step 2: Convert to fraction form
    406.22/606.03 = 347.76/x
  3. Step 3: Cross multiply
    406.22x = 606.03 × 347.76
  4. Step 4: Simplify right side
    406.22x = 210,753.64
  5. Step 5: Solve for x
    x = 210,753.64/406.22
  6. Step 6: Final answer
    x = 518.82

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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.