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Finding the Fourth Proportional to 438.05, 656.28 and 229.55

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Solution

The fourth proportional to 438.05, 656.28 and 229.55 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.05 : 656.28 = 229.55 : x
  2. Step 2: Convert to fraction form
    438.05/656.28 = 229.55/x
  3. Step 3: Cross multiply
    438.05x = 656.28 × 229.55
  4. Step 4: Simplify right side
    438.05x = 150,645.79
  5. Step 5: Solve for x
    x = 150,645.79/438.05
  6. Step 6: Final answer
    x = 343.90

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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.