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Finding the Fourth Proportional to 268.64, 368.31 and 263.78

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Solution

The fourth proportional to 268.64, 368.31 and 263.78 is: 361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 368.31 = 263.78 : x
  2. Step 2: Convert to fraction form
    268.64/368.31 = 263.78/x
  3. Step 3: Cross multiply
    268.64x = 368.31 × 263.78
  4. Step 4: Simplify right side
    268.64x = 97,151.61
  5. Step 5: Solve for x
    x = 97,151.61/268.64
  6. Step 6: Final answer
    x = 361.64

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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.