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Finding the Fourth Proportional to 550.64, 825.69 and 242.36

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Solution

The fourth proportional to 550.64, 825.69 and 242.36 is: 363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 825.69 = 242.36 : x
  2. Step 2: Convert to fraction form
    550.64/825.69 = 242.36/x
  3. Step 3: Cross multiply
    550.64x = 825.69 × 242.36
  4. Step 4: Simplify right side
    550.64x = 200,113.02
  5. Step 5: Solve for x
    x = 200,113.02/550.64
  6. Step 6: Final answer
    x = 363.42

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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.