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Finding the Fourth Proportional to 550.98, 759.06 and 354.15

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Solution

The fourth proportional to 550.98, 759.06 and 354.15 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 759.06 = 354.15 : x
  2. Step 2: Convert to fraction form
    550.98/759.06 = 354.15/x
  3. Step 3: Cross multiply
    550.98x = 759.06 × 354.15
  4. Step 4: Simplify right side
    550.98x = 268,821.10
  5. Step 5: Solve for x
    x = 268,821.10/550.98
  6. Step 6: Final answer
    x = 487.90

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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.