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Finding the Fourth Proportional to 200.56, 299.44 and 171.68

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Solution

The fourth proportional to 200.56, 299.44 and 171.68 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 299.44 = 171.68 : x
  2. Step 2: Convert to fraction form
    200.56/299.44 = 171.68/x
  3. Step 3: Cross multiply
    200.56x = 299.44 × 171.68
  4. Step 4: Simplify right side
    200.56x = 51,407.86
  5. Step 5: Solve for x
    x = 51,407.86/200.56
  6. Step 6: Final answer
    x = 256.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.