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Finding the Fourth Proportional to 253.59, 349.54 and 200.89

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Solution

The fourth proportional to 253.59, 349.54 and 200.89 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.59 : 349.54 = 200.89 : x
  2. Step 2: Convert to fraction form
    253.59/349.54 = 200.89/x
  3. Step 3: Cross multiply
    253.59x = 349.54 × 200.89
  4. Step 4: Simplify right side
    253.59x = 70,219.09
  5. Step 5: Solve for x
    x = 70,219.09/253.59
  6. Step 6: Final answer
    x = 276.90

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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.