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Finding the Fourth Proportional to 432.10, 647.78 and 200.87

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Solution

The fourth proportional to 432.10, 647.78 and 200.87 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.10 : 647.78 = 200.87 : x
  2. Step 2: Convert to fraction form
    432.10/647.78 = 200.87/x
  3. Step 3: Cross multiply
    432.10x = 647.78 × 200.87
  4. Step 4: Simplify right side
    432.10x = 130,119.26
  5. Step 5: Solve for x
    x = 130,119.26/432.10
  6. Step 6: Final answer
    x = 301.13

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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.