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Finding the Fourth Proportional to 269.00, 402.96 and 131.63

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Solution

The fourth proportional to 269.00, 402.96 and 131.63 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.00 : 402.96 = 131.63 : x
  2. Step 2: Convert to fraction form
    269.00/402.96 = 131.63/x
  3. Step 3: Cross multiply
    269.00x = 402.96 × 131.63
  4. Step 4: Simplify right side
    269.00x = 53,041.62
  5. Step 5: Solve for x
    x = 53,041.62/269.00
  6. Step 6: Final answer
    x = 197.18

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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.