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Finding the Fourth Proportional to 288.24, 397.68 and 200.88

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Solution

The fourth proportional to 288.24, 397.68 and 200.88 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 397.68 = 200.88 : x
  2. Step 2: Convert to fraction form
    288.24/397.68 = 200.88/x
  3. Step 3: Cross multiply
    288.24x = 397.68 × 200.88
  4. Step 4: Simplify right side
    288.24x = 79,885.96
  5. Step 5: Solve for x
    x = 79,885.96/288.24
  6. Step 6: Final answer
    x = 277.15

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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.