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Finding the Fourth Proportional to 200.27, 275.76 and 175.56

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Solution

The fourth proportional to 200.27, 275.76 and 175.56 is: 241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 275.76 = 175.56 : x
  2. Step 2: Convert to fraction form
    200.27/275.76 = 175.56/x
  3. Step 3: Cross multiply
    200.27x = 275.76 × 175.56
  4. Step 4: Simplify right side
    200.27x = 48,412.43
  5. Step 5: Solve for x
    x = 48,412.43/200.27
  6. Step 6: Final answer
    x = 241.74

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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.