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Finding the Fourth Proportional to 550.37, 825.42 and 160.36

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Solution

The fourth proportional to 550.37, 825.42 and 160.36 is: 240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.37 : 825.42 = 160.36 : x
  2. Step 2: Convert to fraction form
    550.37/825.42 = 160.36/x
  3. Step 3: Cross multiply
    550.37x = 825.42 × 160.36
  4. Step 4: Simplify right side
    550.37x = 132,364.35
  5. Step 5: Solve for x
    x = 132,364.35/550.37
  6. Step 6: Final answer
    x = 240.50

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1.5x scale

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.