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Finding the Fourth Proportional to 550.31, 824.58 and 276.12

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Solution

The fourth proportional to 550.31, 824.58 and 276.12 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.31 : 824.58 = 276.12 : x
  2. Step 2: Convert to fraction form
    550.31/824.58 = 276.12/x
  3. Step 3: Cross multiply
    550.31x = 824.58 × 276.12
  4. Step 4: Simplify right side
    550.31x = 227,683.03
  5. Step 5: Solve for x
    x = 227,683.03/550.31
  6. Step 6: Final answer
    x = 413.74

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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.