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Finding the Fourth Proportional to 288.34, 397.81 and 200.98

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Solution

The fourth proportional to 288.34, 397.81 and 200.98 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 397.81 = 200.98 : x
  2. Step 2: Convert to fraction form
    288.34/397.81 = 200.98/x
  3. Step 3: Cross multiply
    288.34x = 397.81 × 200.98
  4. Step 4: Simplify right side
    288.34x = 79,951.85
  5. Step 5: Solve for x
    x = 79,951.85/288.34
  6. Step 6: Final answer
    x = 277.28

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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.