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Finding the Fourth Proportional to 550.40, 825.03 and 355.32

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Solution

The fourth proportional to 550.40, 825.03 and 355.32 is: 532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 825.03 = 355.32 : x
  2. Step 2: Convert to fraction form
    550.40/825.03 = 355.32/x
  3. Step 3: Cross multiply
    550.40x = 825.03 × 355.32
  4. Step 4: Simplify right side
    550.40x = 293,149.66
  5. Step 5: Solve for x
    x = 293,149.66/550.40
  6. Step 6: Final answer
    x = 532.62

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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.