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Finding the Fourth Proportional to 423.49, 584.59 and 257.75

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Solution

The fourth proportional to 423.49, 584.59 and 257.75 is: 355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.49 : 584.59 = 257.75 : x
  2. Step 2: Convert to fraction form
    423.49/584.59 = 257.75/x
  3. Step 3: Cross multiply
    423.49x = 584.59 × 257.75
  4. Step 4: Simplify right side
    423.49x = 150,678.07
  5. Step 5: Solve for x
    x = 150,678.07/423.49
  6. Step 6: Final answer
    x = 355.80

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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.