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Finding the Fourth Proportional to 423.14, 584.00 and 257.46

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Solution

The fourth proportional to 423.14, 584.00 and 257.46 is: 355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 584.00 = 257.46 : x
  2. Step 2: Convert to fraction form
    423.14/584.00 = 257.46/x
  3. Step 3: Cross multiply
    423.14x = 584.00 × 257.46
  4. Step 4: Simplify right side
    423.14x = 150,355.35
  5. Step 5: Solve for x
    x = 150,355.35/423.14
  6. Step 6: Final answer
    x = 355.34

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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.