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Finding the Fourth Proportional to 269.43, 403.76 and 159.50

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Solution

The fourth proportional to 269.43, 403.76 and 159.50 is: 239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.43 : 403.76 = 159.50 : x
  2. Step 2: Convert to fraction form
    269.43/403.76 = 159.50/x
  3. Step 3: Cross multiply
    269.43x = 403.76 × 159.50
  4. Step 4: Simplify right side
    269.43x = 64,399.72
  5. Step 5: Solve for x
    x = 64,399.72/269.43
  6. Step 6: Final answer
    x = 239.02

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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.