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Finding the Fourth Proportional to 433.08, 597.87 and 275.85

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Solution

The fourth proportional to 433.08, 597.87 and 275.85 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 597.87 = 275.85 : x
  2. Step 2: Convert to fraction form
    433.08/597.87 = 275.85/x
  3. Step 3: Cross multiply
    433.08x = 597.87 × 275.85
  4. Step 4: Simplify right side
    433.08x = 164,922.44
  5. Step 5: Solve for x
    x = 164,922.44/433.08
  6. Step 6: Final answer
    x = 380.81

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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.