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Finding the Fourth Proportional to 268.67, 368.64 and 261.77

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Solution

The fourth proportional to 268.67, 368.64 and 261.77 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.67 : 368.64 = 261.77 : x
  2. Step 2: Convert to fraction form
    268.67/368.64 = 261.77/x
  3. Step 3: Cross multiply
    268.67x = 368.64 × 261.77
  4. Step 4: Simplify right side
    268.67x = 96,497.05
  5. Step 5: Solve for x
    x = 96,497.05/268.67
  6. Step 6: Final answer
    x = 359.16

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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.