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Finding the Fourth Proportional to 432.05, 596.22 and 245.54

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Solution

The fourth proportional to 432.05, 596.22 and 245.54 is: 338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.05 : 596.22 = 245.54 : x
  2. Step 2: Convert to fraction form
    432.05/596.22 = 245.54/x
  3. Step 3: Cross multiply
    432.05x = 596.22 × 245.54
  4. Step 4: Simplify right side
    432.05x = 146,392.88
  5. Step 5: Solve for x
    x = 146,392.88/432.05
  6. Step 6: Final answer
    x = 338.84

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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.