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Finding the Fourth Proportional to 288.25, 397.89 and 200.77

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Solution

The fourth proportional to 288.25, 397.89 and 200.77 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 397.89 = 200.77 : x
  2. Step 2: Convert to fraction form
    288.25/397.89 = 200.77/x
  3. Step 3: Cross multiply
    288.25x = 397.89 × 200.77
  4. Step 4: Simplify right side
    288.25x = 79,883.38
  5. Step 5: Solve for x
    x = 79,883.38/288.25
  6. Step 6: Final answer
    x = 277.13

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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.