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Finding the Fourth Proportional to 268.84, 400.98 and 253.88

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Solution

The fourth proportional to 268.84, 400.98 and 253.88 is: 378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.84 : 400.98 = 253.88 : x
  2. Step 2: Convert to fraction form
    268.84/400.98 = 253.88/x
  3. Step 3: Cross multiply
    268.84x = 400.98 × 253.88
  4. Step 4: Simplify right side
    268.84x = 101,800.80
  5. Step 5: Solve for x
    x = 101,800.80/268.84
  6. Step 6: Final answer
    x = 378.67

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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.