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Finding the Fourth Proportional to 253.20, 349.03 and 200.51

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Solution

The fourth proportional to 253.20, 349.03 and 200.51 is: 276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.20 : 349.03 = 200.51 : x
  2. Step 2: Convert to fraction form
    253.20/349.03 = 200.51/x
  3. Step 3: Cross multiply
    253.20x = 349.03 × 200.51
  4. Step 4: Simplify right side
    253.20x = 69,984.01
  5. Step 5: Solve for x
    x = 69,984.01/253.20
  6. Step 6: Final answer
    x = 276.40

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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.