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Finding the Fourth Proportional to 423.62, 584.55 and 257.80

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Solution

The fourth proportional to 423.62, 584.55 and 257.80 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 584.55 = 257.80 : x
  2. Step 2: Convert to fraction form
    423.62/584.55 = 257.80/x
  3. Step 3: Cross multiply
    423.62x = 584.55 × 257.80
  4. Step 4: Simplify right side
    423.62x = 150,692.78
  5. Step 5: Solve for x
    x = 150,692.78/423.62
  6. Step 6: Final answer
    x = 355.73

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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.