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Finding the Fourth Proportional to 432.03, 647.60 and 200.78

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Solution

The fourth proportional to 432.03, 647.60 and 200.78 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.03 : 647.60 = 200.78 : x
  2. Step 2: Convert to fraction form
    432.03/647.60 = 200.78/x
  3. Step 3: Cross multiply
    432.03x = 647.60 × 200.78
  4. Step 4: Simplify right side
    432.03x = 130,023.31
  5. Step 5: Solve for x
    x = 130,023.31/432.03
  6. Step 6: Final answer
    x = 300.96

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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.