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Finding the Fourth Proportional to 288.43, 397.88 and 200.95

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Solution

The fourth proportional to 288.43, 397.88 and 200.95 is: 277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.43 : 397.88 = 200.95 : x
  2. Step 2: Convert to fraction form
    288.43/397.88 = 200.95/x
  3. Step 3: Cross multiply
    288.43x = 397.88 × 200.95
  4. Step 4: Simplify right side
    288.43x = 79,950.99
  5. Step 5: Solve for x
    x = 79,950.99/288.43
  6. Step 6: Final answer
    x = 277.20

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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.