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Finding the Fourth Proportional to 268.40, 369.24 and 263.36

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Solution

The fourth proportional to 268.40, 369.24 and 263.36 is: 362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 369.24 = 263.36 : x
  2. Step 2: Convert to fraction form
    268.40/369.24 = 263.36/x
  3. Step 3: Cross multiply
    268.40x = 369.24 × 263.36
  4. Step 4: Simplify right side
    268.40x = 97,243.05
  5. Step 5: Solve for x
    x = 97,243.05/268.40
  6. Step 6: Final answer
    x = 362.31

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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.