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Finding the Fourth Proportional to 402.79, 605 and 281.29

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Solution

The fourth proportional to 402.79, 605 and 281.29 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.79 : 605 = 281.29 : x
  2. Step 2: Convert to fraction form
    402.79/605 = 281.29/x
  3. Step 3: Cross multiply
    402.79x = 605 × 281.29
  4. Step 4: Simplify right side
    402.79x = 170,180.45
  5. Step 5: Solve for x
    x = 170,180.45/402.79
  6. Step 6: Final answer
    x = 422.50

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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.