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Finding the Fourth Proportional to 423.29, 584.03 and 257.51

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Solution

The fourth proportional to 423.29, 584.03 and 257.51 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 584.03 = 257.51 : x
  2. Step 2: Convert to fraction form
    423.29/584.03 = 257.51/x
  3. Step 3: Cross multiply
    423.29x = 584.03 × 257.51
  4. Step 4: Simplify right side
    423.29x = 150,389.36
  5. Step 5: Solve for x
    x = 150,389.36/423.29
  6. Step 6: Final answer
    x = 355.29

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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.