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Finding the Fourth Proportional to 423.57, 584.49 and 257.85

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Solution

The fourth proportional to 423.57, 584.49 and 257.85 is: 355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 584.49 = 257.85 : x
  2. Step 2: Convert to fraction form
    423.57/584.49 = 257.85/x
  3. Step 3: Cross multiply
    423.57x = 584.49 × 257.85
  4. Step 4: Simplify right side
    423.57x = 150,710.75
  5. Step 5: Solve for x
    x = 150,710.75/423.57
  6. Step 6: Final answer
    x = 355.81

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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.