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Finding the Fourth Proportional to 423.12, 584.02 and 257.39

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Solution

The fourth proportional to 423.12, 584.02 and 257.39 is: 355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 584.02 = 257.39 : x
  2. Step 2: Convert to fraction form
    423.12/584.02 = 257.39/x
  3. Step 3: Cross multiply
    423.12x = 584.02 × 257.39
  4. Step 4: Simplify right side
    423.12x = 150,319.45
  5. Step 5: Solve for x
    x = 150,319.45/423.12
  6. Step 6: Final answer
    x = 355.26

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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.