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Finding the Fourth Proportional to 550.90, 824.87 and 290.36

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Solution

The fourth proportional to 550.90, 824.87 and 290.36 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 824.87 = 290.36 : x
  2. Step 2: Convert to fraction form
    550.90/824.87 = 290.36/x
  3. Step 3: Cross multiply
    550.90x = 824.87 × 290.36
  4. Step 4: Simplify right side
    550.90x = 239,504.59
  5. Step 5: Solve for x
    x = 239,504.59/550.90
  6. Step 6: Final answer
    x = 434.75

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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.