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Finding the Fourth Proportional to 423.45, 584.10 and 276.05

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Solution

The fourth proportional to 423.45, 584.10 and 276.05 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.45 : 584.10 = 276.05 : x
  2. Step 2: Convert to fraction form
    423.45/584.10 = 276.05/x
  3. Step 3: Cross multiply
    423.45x = 584.10 × 276.05
  4. Step 4: Simplify right side
    423.45x = 161,242.27
  5. Step 5: Solve for x
    x = 161,242.27/423.45
  6. Step 6: Final answer
    x = 380.78

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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.