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Finding the Fourth Proportional to 403.89, 606.09 and 147.39

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Solution

The fourth proportional to 403.89, 606.09 and 147.39 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.89 : 606.09 = 147.39 : x
  2. Step 2: Convert to fraction form
    403.89/606.09 = 147.39/x
  3. Step 3: Cross multiply
    403.89x = 606.09 × 147.39
  4. Step 4: Simplify right side
    403.89x = 89,331.61
  5. Step 5: Solve for x
    x = 89,331.61/403.89
  6. Step 6: Final answer
    x = 221.18

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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.