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Finding the Fourth Proportional to 550.92, 825.50 and 290.92

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Solution

The fourth proportional to 550.92, 825.50 and 290.92 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.92 : 825.50 = 290.92 : x
  2. Step 2: Convert to fraction form
    550.92/825.50 = 290.92/x
  3. Step 3: Cross multiply
    550.92x = 825.50 × 290.92
  4. Step 4: Simplify right side
    550.92x = 240,154.46
  5. Step 5: Solve for x
    x = 240,154.46/550.92
  6. Step 6: Final answer
    x = 435.92

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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.