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Finding the Fourth Proportional to 550.19, 759.78 and 354.05

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Solution

The fourth proportional to 550.19, 759.78 and 354.05 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.19 : 759.78 = 354.05 : x
  2. Step 2: Convert to fraction form
    550.19/759.78 = 354.05/x
  3. Step 3: Cross multiply
    550.19x = 759.78 × 354.05
  4. Step 4: Simplify right side
    550.19x = 268,994.54
  5. Step 5: Solve for x
    x = 268,994.54/550.19
  6. Step 6: Final answer
    x = 488.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.