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Finding the Fourth Proportional to 561.67, 842.74 and 269.33

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Solution

The fourth proportional to 561.67, 842.74 and 269.33 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.67 : 842.74 = 269.33 : x
  2. Step 2: Convert to fraction form
    561.67/842.74 = 269.33/x
  3. Step 3: Cross multiply
    561.67x = 842.74 × 269.33
  4. Step 4: Simplify right side
    561.67x = 226,970.28
  5. Step 5: Solve for x
    x = 226,970.28/561.67
  6. Step 6: Final answer
    x = 404.10

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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.