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Finding the Fourth Proportional to 550.78, 760.11 and 354.35

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Solution

The fourth proportional to 550.78, 760.11 and 354.35 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 760.11 = 354.35 : x
  2. Step 2: Convert to fraction form
    550.78/760.11 = 354.35/x
  3. Step 3: Cross multiply
    550.78x = 760.11 × 354.35
  4. Step 4: Simplify right side
    550.78x = 269,344.98
  5. Step 5: Solve for x
    x = 269,344.98/550.78
  6. Step 6: Final answer
    x = 489.02

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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.