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Finding the Fourth Proportional to 352.89, 487.15 and 305.44

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Solution

The fourth proportional to 352.89, 487.15 and 305.44 is: 421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.89 : 487.15 = 305.44 : x
  2. Step 2: Convert to fraction form
    352.89/487.15 = 305.44/x
  3. Step 3: Cross multiply
    352.89x = 487.15 × 305.44
  4. Step 4: Simplify right side
    352.89x = 148,793.11
  5. Step 5: Solve for x
    x = 148,793.11/352.89
  6. Step 6: Final answer
    x = 421.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.