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Finding the Fourth Proportional to 207.96, 285.42 and 202.56

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Solution

The fourth proportional to 207.96, 285.42 and 202.56 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 285.42 = 202.56 : x
  2. Step 2: Convert to fraction form
    207.96/285.42 = 202.56/x
  3. Step 3: Cross multiply
    207.96x = 285.42 × 202.56
  4. Step 4: Simplify right side
    207.96x = 57,814.68
  5. Step 5: Solve for x
    x = 57,814.68/207.96
  6. Step 6: Final answer
    x = 278.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.