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Finding the Fourth Proportional to 269.53, 404.90 and 161.40

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Solution

The fourth proportional to 269.53, 404.90 and 161.40 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 404.90 = 161.40 : x
  2. Step 2: Convert to fraction form
    269.53/404.90 = 161.40/x
  3. Step 3: Cross multiply
    269.53x = 404.90 × 161.40
  4. Step 4: Simplify right side
    269.53x = 65,349.24
  5. Step 5: Solve for x
    x = 65,349.24/269.53
  6. Step 6: Final answer
    x = 242.46

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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.