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Finding the Fourth Proportional to 269.77, 372.11 and 186.84

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Solution

The fourth proportional to 269.77, 372.11 and 186.84 is: 257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.77 : 372.11 = 186.84 : x
  2. Step 2: Convert to fraction form
    269.77/372.11 = 186.84/x
  3. Step 3: Cross multiply
    269.77x = 372.11 × 186.84
  4. Step 4: Simplify right side
    269.77x = 69,525.03
  5. Step 5: Solve for x
    x = 69,525.03/269.77
  6. Step 6: Final answer
    x = 257.72

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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.