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Finding the Fourth Proportional to 434.94, 651.82 and 200.39

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Solution

The fourth proportional to 434.94, 651.82 and 200.39 is: 300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 651.82 = 200.39 : x
  2. Step 2: Convert to fraction form
    434.94/651.82 = 200.39/x
  3. Step 3: Cross multiply
    434.94x = 651.82 × 200.39
  4. Step 4: Simplify right side
    434.94x = 130,616.31
  5. Step 5: Solve for x
    x = 130,616.31/434.94
  6. Step 6: Final answer
    x = 300.31

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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.