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Finding the Fourth Proportional to 423.28, 583.82 and 257.46

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Solution

The fourth proportional to 423.28, 583.82 and 257.46 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.28 : 583.82 = 257.46 : x
  2. Step 2: Convert to fraction form
    423.28/583.82 = 257.46/x
  3. Step 3: Cross multiply
    423.28x = 583.82 × 257.46
  4. Step 4: Simplify right side
    423.28x = 150,310.30
  5. Step 5: Solve for x
    x = 150,310.30/423.28
  6. Step 6: Final answer
    x = 355.11

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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.