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Finding the Fourth Proportional to 432.08, 647.96 and 200.93

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Solution

The fourth proportional to 432.08, 647.96 and 200.93 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.08 : 647.96 = 200.93 : x
  2. Step 2: Convert to fraction form
    432.08/647.96 = 200.93/x
  3. Step 3: Cross multiply
    432.08x = 647.96 × 200.93
  4. Step 4: Simplify right side
    432.08x = 130,190.36
  5. Step 5: Solve for x
    x = 130,190.36/432.08
  6. Step 6: Final answer
    x = 301.31

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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.