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Finding the Fourth Proportional to 268.53, 400.08 and 254.76

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Solution

The fourth proportional to 268.53, 400.08 and 254.76 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 400.08 = 254.76 : x
  2. Step 2: Convert to fraction form
    268.53/400.08 = 254.76/x
  3. Step 3: Cross multiply
    268.53x = 400.08 × 254.76
  4. Step 4: Simplify right side
    268.53x = 101,924.38
  5. Step 5: Solve for x
    x = 101,924.38/268.53
  6. Step 6: Final answer
    x = 379.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.