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Finding the Fourth Proportional to 269.34, 369.15 and 266.26

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Solution

The fourth proportional to 269.34, 369.15 and 266.26 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 369.15 = 266.26 : x
  2. Step 2: Convert to fraction form
    269.34/369.15 = 266.26/x
  3. Step 3: Cross multiply
    269.34x = 369.15 × 266.26
  4. Step 4: Simplify right side
    269.34x = 98,289.88
  5. Step 5: Solve for x
    x = 98,289.88/269.34
  6. Step 6: Final answer
    x = 364.93

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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.