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Finding the Fourth Proportional to 207.33, 310.83 and 178.77

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Solution

The fourth proportional to 207.33, 310.83 and 178.77 is: 268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 310.83 = 178.77 : x
  2. Step 2: Convert to fraction form
    207.33/310.83 = 178.77/x
  3. Step 3: Cross multiply
    207.33x = 310.83 × 178.77
  4. Step 4: Simplify right side
    207.33x = 55,568.30
  5. Step 5: Solve for x
    x = 55,568.30/207.33
  6. Step 6: Final answer
    x = 268.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.