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Finding the Fourth Proportional to 269.53, 403.79 and 188.19

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Solution

The fourth proportional to 269.53, 403.79 and 188.19 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 403.79 = 188.19 : x
  2. Step 2: Convert to fraction form
    269.53/403.79 = 188.19/x
  3. Step 3: Cross multiply
    269.53x = 403.79 × 188.19
  4. Step 4: Simplify right side
    269.53x = 75,988.30
  5. Step 5: Solve for x
    x = 75,988.30/269.53
  6. Step 6: Final answer
    x = 281.93

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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.