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Finding the Fourth Proportional to 402.28, 603.66 and 257.80

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Solution

The fourth proportional to 402.28, 603.66 and 257.80 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.28 : 603.66 = 257.80 : x
  2. Step 2: Convert to fraction form
    402.28/603.66 = 257.80/x
  3. Step 3: Cross multiply
    402.28x = 603.66 × 257.80
  4. Step 4: Simplify right side
    402.28x = 155,623.55
  5. Step 5: Solve for x
    x = 155,623.55/402.28
  6. Step 6: Final answer
    x = 386.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.