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Finding the Fourth Proportional to 269.36, 403.14 and 181.40

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Solution

The fourth proportional to 269.36, 403.14 and 181.40 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 403.14 = 181.40 : x
  2. Step 2: Convert to fraction form
    269.36/403.14 = 181.40/x
  3. Step 3: Cross multiply
    269.36x = 403.14 × 181.40
  4. Step 4: Simplify right side
    269.36x = 73,126.67
  5. Step 5: Solve for x
    x = 73,126.67/269.36
  6. Step 6: Final answer
    x = 271.49

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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.