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Finding the Fourth Proportional to 423.24, 584.24 and 257.50

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Solution

The fourth proportional to 423.24, 584.24 and 257.50 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 584.24 = 257.50 : x
  2. Step 2: Convert to fraction form
    423.24/584.24 = 257.50/x
  3. Step 3: Cross multiply
    423.24x = 584.24 × 257.50
  4. Step 4: Simplify right side
    423.24x = 150,441.80
  5. Step 5: Solve for x
    x = 150,441.80/423.24
  6. Step 6: Final answer
    x = 355.45

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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.