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Finding the Fourth Proportional to 268.76, 400.78 and 253.94

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Solution

The fourth proportional to 268.76, 400.78 and 253.94 is: 378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.76 : 400.78 = 253.94 : x
  2. Step 2: Convert to fraction form
    268.76/400.78 = 253.94/x
  3. Step 3: Cross multiply
    268.76x = 400.78 × 253.94
  4. Step 4: Simplify right side
    268.76x = 101,774.07
  5. Step 5: Solve for x
    x = 101,774.07/268.76
  6. Step 6: Final answer
    x = 378.68

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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.