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Finding the Fourth Proportional to 433.93, 599.02 and 276.78

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Solution

The fourth proportional to 433.93, 599.02 and 276.78 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.93 : 599.02 = 276.78 : x
  2. Step 2: Convert to fraction form
    433.93/599.02 = 276.78/x
  3. Step 3: Cross multiply
    433.93x = 599.02 × 276.78
  4. Step 4: Simplify right side
    433.93x = 165,793.76
  5. Step 5: Solve for x
    x = 165,793.76/433.93
  6. Step 6: Final answer
    x = 382.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.