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Finding the Fourth Proportional to 268.18, 402.38 and 105.82

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Solution

The fourth proportional to 268.18, 402.38 and 105.82 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.18 : 402.38 = 105.82 : x
  2. Step 2: Convert to fraction form
    268.18/402.38 = 105.82/x
  3. Step 3: Cross multiply
    268.18x = 402.38 × 105.82
  4. Step 4: Simplify right side
    268.18x = 42,578.71
  5. Step 5: Solve for x
    x = 42,578.71/268.18
  6. Step 6: Final answer
    x = 158.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.