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Finding the Fourth Proportional to 561.96, 842.80 and 269.28

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Solution

The fourth proportional to 561.96, 842.80 and 269.28 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 842.80 = 269.28 : x
  2. Step 2: Convert to fraction form
    561.96/842.80 = 269.28/x
  3. Step 3: Cross multiply
    561.96x = 842.80 × 269.28
  4. Step 4: Simplify right side
    561.96x = 226,949.18
  5. Step 5: Solve for x
    x = 226,949.18/561.96
  6. Step 6: Final answer
    x = 403.85

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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.