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Finding the Fourth Proportional to 268.71, 402.37 and 181.95

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Solution

The fourth proportional to 268.71, 402.37 and 181.95 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 402.37 = 181.95 : x
  2. Step 2: Convert to fraction form
    268.71/402.37 = 181.95/x
  3. Step 3: Cross multiply
    268.71x = 402.37 × 181.95
  4. Step 4: Simplify right side
    268.71x = 73,211.22
  5. Step 5: Solve for x
    x = 73,211.22/268.71
  6. Step 6: Final answer
    x = 272.45

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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.